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Finding the Fourth Proportional to 102,517.38, 141,532.11 and 66,689.46

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Solution

The fourth proportional to 102,517.38, 141,532.11 and 66,689.46 is: 92,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,517.38 : 141,532.11 = 66,689.46 : x
  2. Step 2: Convert to fraction form
    102,517.38/141,532.11 = 66,689.46/x
  3. Step 3: Cross multiply
    102,517.38x = 141,532.11 × 66,689.46
  4. Step 4: Simplify right side
    102,517.38x = 9,438,699,988.56
  5. Step 5: Solve for x
    x = 9,438,699,988.56/102,517.38
  6. Step 6: Final answer
    x = 92,069.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.