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Finding the Fourth Proportional to 198,704.88, 274,217.88 and 108,066.48

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Solution

The fourth proportional to 198,704.88, 274,217.88 and 108,066.48 is: 149,134.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,704.88 : 274,217.88 = 108,066.48 : x
  2. Step 2: Convert to fraction form
    198,704.88/274,217.88 = 108,066.48/x
  3. Step 3: Cross multiply
    198,704.88x = 274,217.88 × 108,066.48
  4. Step 4: Simplify right side
    198,704.88x = 29,633,761,044.66
  5. Step 5: Solve for x
    x = 29,633,761,044.66/198,704.88
  6. Step 6: Final answer
    x = 149,134.54

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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.