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Finding the Fourth Proportional to 83,539.97, 125,115.40 and 50,186.40

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Solution

The fourth proportional to 83,539.97, 125,115.40 and 50,186.40 is: 75,162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,539.97 : 125,115.40 = 50,186.40 : x
  2. Step 2: Convert to fraction form
    83,539.97/125,115.40 = 50,186.40/x
  3. Step 3: Cross multiply
    83,539.97x = 125,115.40 × 50,186.40
  4. Step 4: Simplify right side
    83,539.97x = 6,279,091,104.11
  5. Step 5: Solve for x
    x = 6,279,091,104.11/83,539.97
  6. Step 6: Final answer
    x = 75,162.72

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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.