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Finding the Fourth Proportional to 198,520.88, 273,959.16 and 107,876

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Solution

The fourth proportional to 198,520.88, 273,959.16 and 107,876 is: 148,869.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,520.88 : 273,959.16 = 107,876 : x
  2. Step 2: Convert to fraction form
    198,520.88/273,959.16 = 107,876/x
  3. Step 3: Cross multiply
    198,520.88x = 273,959.16 × 107,876
  4. Step 4: Simplify right side
    198,520.88x = 29,553,618,344.16
  5. Step 5: Solve for x
    x = 29,553,618,344.16/198,520.88
  6. Step 6: Final answer
    x = 148,869.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.