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Finding the Fourth Proportional to 138,948.76, 191,748.77 and 75,286.72

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Solution

The fourth proportional to 138,948.76, 191,748.77 and 75,286.72 is: 103,895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,948.76 : 191,748.77 = 75,286.72 : x
  2. Step 2: Convert to fraction form
    138,948.76/191,748.77 = 75,286.72/x
  3. Step 3: Cross multiply
    138,948.76x = 191,748.77 × 75,286.72
  4. Step 4: Simplify right side
    138,948.76x = 14,436,135,957.33
  5. Step 5: Solve for x
    x = 14,436,135,957.33/138,948.76
  6. Step 6: Final answer
    x = 103,895.39

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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.