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Finding the Fourth Proportional to 198,950.79, 274,543.70 and 108,304.88

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Solution

The fourth proportional to 198,950.79, 274,543.70 and 108,304.88 is: 149,456.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,950.79 : 274,543.70 = 108,304.88 : x
  2. Step 2: Convert to fraction form
    198,950.79/274,543.70 = 108,304.88/x
  3. Step 3: Cross multiply
    198,950.79x = 274,543.70 × 108,304.88
  4. Step 4: Simplify right side
    198,950.79x = 29,734,420,569.01
  5. Step 5: Solve for x
    x = 29,734,420,569.01/198,950.79
  6. Step 6: Final answer
    x = 149,456.15

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Why These Related Problems?

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