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Finding the Fourth Proportional to 198,942, 274,773.24 and 131,757.36

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Solution

The fourth proportional to 198,942, 274,773.24 and 131,757.36 is: 181,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,942 : 274,773.24 = 131,757.36 : x
  2. Step 2: Convert to fraction form
    198,942/274,773.24 = 131,757.36/x
  3. Step 3: Cross multiply
    198,942x = 274,773.24 × 131,757.36
  4. Step 4: Simplify right side
    198,942x = 36,203,396,701.05
  5. Step 5: Solve for x
    x = 36,203,396,701.05/198,942
  6. Step 6: Final answer
    x = 181,979.66

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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.