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Finding the Fourth Proportional to 80,470.40, 120,727.20 and 71,765.60

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Solution

The fourth proportional to 80,470.40, 120,727.20 and 71,765.60 is: 107,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,470.40 : 120,727.20 = 71,765.60 : x
  2. Step 2: Convert to fraction form
    80,470.40/120,727.20 = 71,765.60/x
  3. Step 3: Cross multiply
    80,470.40x = 120,727.20 × 71,765.60
  4. Step 4: Simplify right side
    80,470.40x = 8,664,059,944.32
  5. Step 5: Solve for x
    x = 8,664,059,944.32/80,470.40
  6. Step 6: Final answer
    x = 107,667.66

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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.