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Finding the Fourth Proportional to 80,177.60, 120,268.56 and 35,793.92

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Solution

The fourth proportional to 80,177.60, 120,268.56 and 35,793.92 is: 53,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,177.60 : 120,268.56 = 35,793.92 : x
  2. Step 2: Convert to fraction form
    80,177.60/120,268.56 = 35,793.92/x
  3. Step 3: Cross multiply
    80,177.60x = 120,268.56 × 35,793.92
  4. Step 4: Simplify right side
    80,177.60x = 4,304,883,215.16
  5. Step 5: Solve for x
    x = 4,304,883,215.16/80,177.60
  6. Step 6: Final answer
    x = 53,691.84

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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.