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Finding the Fourth Proportional to 113,378.16, 169,962.30 and 50,164.78

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Solution

The fourth proportional to 113,378.16, 169,962.30 and 50,164.78 is: 75,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,378.16 : 169,962.30 = 50,164.78 : x
  2. Step 2: Convert to fraction form
    113,378.16/169,962.30 = 50,164.78/x
  3. Step 3: Cross multiply
    113,378.16x = 169,962.30 × 50,164.78
  4. Step 4: Simplify right side
    113,378.16x = 8,526,121,387.79
  5. Step 5: Solve for x
    x = 8,526,121,387.79/113,378.16
  6. Step 6: Final answer
    x = 75,200.74

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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.