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Finding the Fourth Proportional to 198,615.90, 274,086.71 and 107,974.15

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Solution

The fourth proportional to 198,615.90, 274,086.71 and 107,974.15 is: 149,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,615.90 : 274,086.71 = 107,974.15 : x
  2. Step 2: Convert to fraction form
    198,615.90/274,086.71 = 107,974.15/x
  3. Step 3: Cross multiply
    198,615.90x = 274,086.71 × 107,974.15
  4. Step 4: Simplify right side
    198,615.90x = 29,594,278,168.11
  5. Step 5: Solve for x
    x = 29,594,278,168.11/198,615.90
  6. Step 6: Final answer
    x = 149,002.57

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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.