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Finding the Fourth Proportional to 148,498, 204,927.28 and 81,431.44

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Solution

The fourth proportional to 148,498, 204,927.28 and 81,431.44 is: 112,375.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,498 : 204,927.28 = 81,431.44 : x
  2. Step 2: Convert to fraction form
    148,498/204,927.28 = 81,431.44/x
  3. Step 3: Cross multiply
    148,498x = 204,927.28 × 81,431.44
  4. Step 4: Simplify right side
    148,498x = 16,687,523,505.68
  5. Step 5: Solve for x
    x = 16,687,523,505.68/148,498
  6. Step 6: Final answer
    x = 112,375.41

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