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Finding the Fourth Proportional to 96,227.20, 144,049.20 and 72,704.80

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Solution

The fourth proportional to 96,227.20, 144,049.20 and 72,704.80 is: 108,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,227.20 : 144,049.20 = 72,704.80 : x
  2. Step 2: Convert to fraction form
    96,227.20/144,049.20 = 72,704.80/x
  3. Step 3: Cross multiply
    96,227.20x = 144,049.20 × 72,704.80
  4. Step 4: Simplify right side
    96,227.20x = 10,473,068,276.16
  5. Step 5: Solve for x
    x = 10,473,068,276.16/96,227.20
  6. Step 6: Final answer
    x = 108,836.88

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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.