$\frac{x}{10}$ = $\frac{y}{5}$ ⇒ $\frac{x}{20}$ = $\frac{y}{10}$
$\frac{y}{2}$ = $\frac{z}{5}$ ⇒ $\frac{y}{10}$ = $\frac{z}{25}$
⇒$\frac{x}{20}$ = $\frac{y}{10}$ = $\frac{z}{25}$ = $\frac{2x-3y +4z}{20.2 - 10.3 + 4.25}$ = $\frac{330}{110}$ = $3$
⇒$\begin{cases} x=20.3= 60\\y = 10.3 = 30\\z = 25 . 3= 75 \end{cases}$