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Finding the Fourth Proportional to 148,449.38, 204,873.12 and 81,394.34

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Solution

The fourth proportional to 148,449.38, 204,873.12 and 81,394.34 is: 112,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,449.38 : 204,873.12 = 81,394.34 : x
  2. Step 2: Convert to fraction form
    148,449.38/204,873.12 = 81,394.34/x
  3. Step 3: Cross multiply
    148,449.38x = 204,873.12 × 81,394.34
  4. Step 4: Simplify right side
    148,449.38x = 16,675,511,361.78
  5. Step 5: Solve for x
    x = 16,675,511,361.78/148,449.38
  6. Step 6: Final answer
    x = 112,331.30

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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.