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Finding the Fourth Proportional to 80,854.80, 121,282.20 and 71,013.30

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Solution

The fourth proportional to 80,854.80, 121,282.20 and 71,013.30 is: 106,519.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,854.80 : 121,282.20 = 71,013.30 : x
  2. Step 2: Convert to fraction form
    80,854.80/121,282.20 = 71,013.30/x
  3. Step 3: Cross multiply
    80,854.80x = 121,282.20 × 71,013.30
  4. Step 4: Simplify right side
    80,854.80x = 8,612,649,253.26
  5. Step 5: Solve for x
    x = 8,612,649,253.26/80,854.80
  6. Step 6: Final answer
    x = 106,519.95

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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.