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Finding the Fourth Proportional to 198,678.28, 274,174.53 and 108,034.30

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Solution

The fourth proportional to 198,678.28, 274,174.53 and 108,034.30 is: 149,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,678.28 : 274,174.53 = 108,034.30 : x
  2. Step 2: Convert to fraction form
    198,678.28/274,174.53 = 108,034.30/x
  3. Step 3: Cross multiply
    198,678.28x = 274,174.53 × 108,034.30
  4. Step 4: Simplify right side
    198,678.28x = 29,620,253,426.38
  5. Step 5: Solve for x
    x = 29,620,253,426.38/198,678.28
  6. Step 6: Final answer
    x = 149,086.52

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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.