Finding the Fourth Proportional to 108,162, 162,243 and 34,290
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Solution
The fourth proportional to 108,162, 162,243 and 34,290 is: 51,435
Step by Step Solution
- Step 1: Write the proportion equation
108,162 : 162,243 = 34,290 : x - Step 2: Convert to fraction form
108,162/162,243 = 34,290/x - Step 3: Cross multiply
108,162x = 162,243 × 34,290 - Step 4: Simplify right side
108,162x = 5,563,312,470 - Step 5: Solve for x
x = 5,563,312,470/108,162 - Step 6: Final answer
x = 51,435
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.