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Finding the Fourth Proportional to 138,763.31, 191,493.92 and 75,101.09

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Solution

The fourth proportional to 138,763.31, 191,493.92 and 75,101.09 is: 103,639.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763.31 : 191,493.92 = 75,101.09 : x
  2. Step 2: Convert to fraction form
    138,763.31/191,493.92 = 75,101.09/x
  3. Step 3: Cross multiply
    138,763.31x = 191,493.92 × 75,101.09
  4. Step 4: Simplify right side
    138,763.31x = 14,381,401,350.66
  5. Step 5: Solve for x
    x = 14,381,401,350.66/138,763.31
  6. Step 6: Final answer
    x = 103,639.80

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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.