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Finding the Fourth Proportional to 78,196.10, 117,481.09 and 50,171.20

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Solution

The fourth proportional to 78,196.10, 117,481.09 and 50,171.20 is: 75,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,196.10 : 117,481.09 = 50,171.20 : x
  2. Step 2: Convert to fraction form
    78,196.10/117,481.09 = 50,171.20/x
  3. Step 3: Cross multiply
    78,196.10x = 117,481.09 × 50,171.20
  4. Step 4: Simplify right side
    78,196.10x = 5,894,167,262.61
  5. Step 5: Solve for x
    x = 5,894,167,262.61/78,196.10
  6. Step 6: Final answer
    x = 75,376.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.