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Finding the Fourth Proportional to 80,158.68, 120,234.24 and 27,569.16

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Solution

The fourth proportional to 80,158.68, 120,234.24 and 27,569.16 is: 41,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,158.68 : 120,234.24 = 27,569.16 : x
  2. Step 2: Convert to fraction form
    80,158.68/120,234.24 = 27,569.16/x
  3. Step 3: Cross multiply
    80,158.68x = 120,234.24 × 27,569.16
  4. Step 4: Simplify right side
    80,158.68x = 3,314,757,000.04
  5. Step 5: Solve for x
    x = 3,314,757,000.04/80,158.68
  6. Step 6: Final answer
    x = 41,352.44

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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.