Here A=200000
t=3.5 year
Rate r=10%
By using the formula of compound interest we have
[tex]\begin{gathered} A=P\lbrack1+\frac{\frac{r}{4}}{100}\rbrack^{4t} \\ 200000=P\lbrack1+\frac{\frac{10}{4}}{100}\rbrack^{4\times3.5} \\ 200000=P\lbrack1.025\rbrack^{14} \\ P=\frac{200000}{1.41297382} \\ P=141545.4392 \end{gathered}[/tex]