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Finding the Fourth Proportional to 275,415.71, 413,084.67 and 88,402.91

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Solution

The fourth proportional to 275,415.71, 413,084.67 and 88,402.91 is: 132,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,415.71 : 413,084.67 = 88,402.91 : x
  2. Step 2: Convert to fraction form
    275,415.71/413,084.67 = 88,402.91/x
  3. Step 3: Cross multiply
    275,415.71x = 413,084.67 × 88,402.91
  4. Step 4: Simplify right side
    275,415.71x = 36,517,886,904.39
  5. Step 5: Solve for x
    x = 36,517,886,904.39/275,415.71
  6. Step 6: Final answer
    x = 132,591.88

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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.