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Finding the Fourth Proportional to 275,414.33, 413,082.61 and 88,401.53

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Solution

The fourth proportional to 275,414.33, 413,082.61 and 88,401.53 is: 132,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,414.33 : 413,082.61 = 88,401.53 : x
  2. Step 2: Convert to fraction form
    275,414.33/413,082.61 = 88,401.53/x
  3. Step 3: Cross multiply
    275,414.33x = 413,082.61 × 88,401.53
  4. Step 4: Simplify right side
    275,414.33x = 36,517,135,552.10
  5. Step 5: Solve for x
    x = 36,517,135,552.10/275,414.33
  6. Step 6: Final answer
    x = 132,589.82

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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.