Calculate the fourth proportional to the numbers $286, 78, 1342$.

The students in three classes are in the ratio $2:3:5$. If $20$ students are increased in each class,the ratio changes to $4:5:7$. The total number of students before the increase was:

₹ $73,689$ are divided between $A$ and $B$ in the ratio $4:7$. What is the difference between thrice the share of $A$ and twice the share of $B$? (In ₹)

At present,Anil is $1.5$ times Purvi's age. $8$ years hence,the respective ratio between Anil and Purvi's ages will be $25:18$. What is Purvi's present age (in years)?

The ratio of two numbers is $10: 7$ and their difference is $105$. The sum of these numbers is

$A$ sum of $Rs. 340.68$ is distributed among $L$,$M$,and $N$ such that $L$ gets $Rs. 5.72$ more than $N$ and $M$ gets $Rs. 2.24$ more than $L$. Find the amount $N$ gets (in $Rs.$).