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Finding the Fourth Proportional to 198,851.02, 274,408.89 and 108,204.88

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Solution

The fourth proportional to 198,851.02, 274,408.89 and 108,204.88 is: 149,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,851.02 : 274,408.89 = 108,204.88 : x
  2. Step 2: Convert to fraction form
    198,851.02/274,408.89 = 108,204.88/x
  3. Step 3: Cross multiply
    198,851.02x = 274,408.89 × 108,204.88
  4. Step 4: Simplify right side
    198,851.02x = 29,692,381,013.38
  5. Step 5: Solve for x
    x = 29,692,381,013.38/198,851.02
  6. Step 6: Final answer
    x = 149,319.73

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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.