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Finding the Fourth Proportional to 138,948.26, 191,748.09 and 75,286.22

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Solution

The fourth proportional to 138,948.26, 191,748.09 and 75,286.22 is: 103,894.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,948.26 : 191,748.09 = 75,286.22 : x
  2. Step 2: Convert to fraction form
    138,948.26/191,748.09 = 75,286.22/x
  3. Step 3: Cross multiply
    138,948.26x = 191,748.09 × 75,286.22
  4. Step 4: Simplify right side
    138,948.26x = 14,435,988,511.89
  5. Step 5: Solve for x
    x = 14,435,988,511.89/138,948.26
  6. Step 6: Final answer
    x = 103,894.71

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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.