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Finding the Fourth Proportional to 83,031.20, 124,546.80 and 76,032.80

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Solution

The fourth proportional to 83,031.20, 124,546.80 and 76,032.80 is: 114,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,031.20 : 124,546.80 = 76,032.80 : x
  2. Step 2: Convert to fraction form
    83,031.20/124,546.80 = 76,032.80/x
  3. Step 3: Cross multiply
    83,031.20x = 124,546.80 × 76,032.80
  4. Step 4: Simplify right side
    83,031.20x = 9,469,641,935.04
  5. Step 5: Solve for x
    x = 9,469,641,935.04/83,031.20
  6. Step 6: Final answer
    x = 114,049.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.