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Finding the Fourth Proportional to 198,605.28, 274,059 and 116,920.56

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Solution

The fourth proportional to 198,605.28, 274,059 and 116,920.56 is: 161,340.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605.28 : 274,059 = 116,920.56 : x
  2. Step 2: Convert to fraction form
    198,605.28/274,059 = 116,920.56/x
  3. Step 3: Cross multiply
    198,605.28x = 274,059 × 116,920.56
  4. Step 4: Simplify right side
    198,605.28x = 32,043,131,753.04
  5. Step 5: Solve for x
    x = 32,043,131,753.04/198,605.28
  6. Step 6: Final answer
    x = 161,340.78

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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.