divide 243 into 3 parts such that half of the first part , one -third of the second part and one-fourth of the third part are all equal.

**Let The Parts Be x,y And z.**

**Now**

**x+y+z = 243**

**And**

**Accordingly To The Question**

**x/2 = y/3 = z/4**

**Or**

**3x = 2y**

**y = 3x/2**

**x/2 = z/4**

**2z = 4x**

**z = 4x/2 = 2x**

**Now **

**x+3x/2+2x = 243**

**9x/2 = 243**

**x = 243*2/9 = 54**

**So x = 54**

**z = 2x = 108**

**y = 3x/2**

**y = 81**

**So Parts Are 54,81 And 108.**

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