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Finding the Fourth Proportional to 138,763.43, 191,494.10 and 75,101.21

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Solution

The fourth proportional to 138,763.43, 191,494.10 and 75,101.21 is: 103,639.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,763.43 : 191,494.10 = 75,101.21 : x
  2. Step 2: Convert to fraction form
    138,763.43/191,494.10 = 75,101.21/x
  3. Step 3: Cross multiply
    138,763.43x = 191,494.10 × 75,101.21
  4. Step 4: Simplify right side
    138,763.43x = 14,381,438,617.86
  5. Step 5: Solve for x
    x = 14,381,438,617.86/138,763.43
  6. Step 6: Final answer
    x = 103,639.98

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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.