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Finding the Fourth Proportional to 80,902.20, 121,382.10 and 78,022.20

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Solution

The fourth proportional to 80,902.20, 121,382.10 and 78,022.20 is: 117,061.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,902.20 : 121,382.10 = 78,022.20 : x
  2. Step 2: Convert to fraction form
    80,902.20/121,382.10 = 78,022.20/x
  3. Step 3: Cross multiply
    80,902.20x = 121,382.10 × 78,022.20
  4. Step 4: Simplify right side
    80,902.20x = 9,470,498,482.62
  5. Step 5: Solve for x
    x = 9,470,498,482.62/80,902.20
  6. Step 6: Final answer
    x = 117,061.07

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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.