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Finding the Fourth Proportional to 80,229.44, 120,348 and 30,305.60

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Solution

The fourth proportional to 80,229.44, 120,348 and 30,305.60 is: 45,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,229.44 : 120,348 = 30,305.60 : x
  2. Step 2: Convert to fraction form
    80,229.44/120,348 = 30,305.60/x
  3. Step 3: Cross multiply
    80,229.44x = 120,348 × 30,305.60
  4. Step 4: Simplify right side
    80,229.44x = 3,647,218,348.80
  5. Step 5: Solve for x
    x = 3,647,218,348.80/80,229.44
  6. Step 6: Final answer
    x = 45,459.85

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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.