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Finding the Fourth Proportional to 252,107.25, 347,915.30 and 138,937.29

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Solution

The fourth proportional to 252,107.25, 347,915.30 and 138,937.29 is: 191,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,107.25 : 347,915.30 = 138,937.29 : x
  2. Step 2: Convert to fraction form
    252,107.25/347,915.30 = 138,937.29/x
  3. Step 3: Cross multiply
    252,107.25x = 347,915.30 × 138,937.29
  4. Step 4: Simplify right side
    252,107.25x = 48,338,408,236.85
  5. Step 5: Solve for x
    x = 48,338,408,236.85/252,107.25
  6. Step 6: Final answer
    x = 191,737.48

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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.