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Finding the Fourth Proportional to 120,550.90, 180,471.62 and 80,470.47

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Solution

The fourth proportional to 120,550.90, 180,471.62 and 80,470.47 is: 120,468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,550.90 : 180,471.62 = 80,470.47 : x
  2. Step 2: Convert to fraction form
    120,550.90/180,471.62 = 80,470.47/x
  3. Step 3: Cross multiply
    120,550.90x = 180,471.62 × 80,470.47
  4. Step 4: Simplify right side
    120,550.90x = 14,522,635,794.97
  5. Step 5: Solve for x
    x = 14,522,635,794.97/120,550.90
  6. Step 6: Final answer
    x = 120,468.91

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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.