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Finding the Fourth Proportional to 80,472.40, 120,730.20 and 71,767.60

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Solution

The fourth proportional to 80,472.40, 120,730.20 and 71,767.60 is: 107,670.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,472.40 : 120,730.20 = 71,767.60 : x
  2. Step 2: Convert to fraction form
    80,472.40/120,730.20 = 71,767.60/x
  3. Step 3: Cross multiply
    80,472.40x = 120,730.20 × 71,767.60
  4. Step 4: Simplify right side
    80,472.40x = 8,664,516,701.52
  5. Step 5: Solve for x
    x = 8,664,516,701.52/80,472.40
  6. Step 6: Final answer
    x = 107,670.66

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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.