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    Work: Find the solution of equation （x-（x/1.09）*4.5%-340000）/（（x/1.09）*4.5%+340000） = 0.2 .
    Question type: Equation
    Solution:Original question:

(

x

−

(

x

÷

109 100

)

×

9 200

−

340000

)

÷

(

(

x

÷

109 100

)

×

9 200

+

340000

)

=

1 5

Multiply both sides of the equation by:

(

(

x

÷

109 100

)

×

9 200

+

340000

)

(

x

−

(

x

÷

109 100

)

×

9 200

−

340000

)

=

1 5

(

(

x

÷

109 100

)

×

9 200

+

340000

)

    Remove a bracket on the left of the equation:：

x

−

(

x

÷

109 100

)

×

9 200

−

340000

=

1 5

(

(

x

÷

109 100

)

×

9 200

+

340000

)

    Remove a bracket on the right of the equation:：

x

−

(

x

÷

109 100

)

×

9 200

−

340000

=

1 5

(

x

÷

109 100

)

×

9 200

+

1 5

×

340000

    The equation is reduced to :

x

−

(

x

÷

109 100

)

×

9 200

−

340000

=

9 1000

(

x

÷

109 100

)

+

68000

    Remove a bracket on the left of the equation:

x

−

x

÷

109 100

×

9 200

−

340000

=

9 1000

(

x

÷

109 100

)

+

68000

    Remove a bracket on the right of the equation:：

x

−

x

÷

109 100

×

9 200

−

340000

=

9 1000

x

÷

109 100

+

68000

    The equation is reduced to :

x

−

x

×

9 218

−

340000

=

9 1090

x

+

68000

    The equation is reduced to :

209 218

x

−

340000

=

9 1090

x

+

68000

    Transposition :

209 218

x

−

9 1090

x

=

68000

+

340000

    Combine the items on the left of the equation:

518 545

x

=

68000

+

340000

    Combine the items on the right of the equation:

518 545

x

=

408000

    The coefficient of the unknown number is reduced to 1 :

x

=

408000

÷

518 545

=

408000

×

545 518

=

204000

×

545 259

    We obtained :

x

=

111180000 259

    This is the solution of the equation.

    Convert the result to decimal form :

x

=

429266.409266

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