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Finding the Fourth Proportional to 140,761.40, 194,251.38 and 77,099

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Solution

The fourth proportional to 140,761.40, 194,251.38 and 77,099 is: 106,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,761.40 : 194,251.38 = 77,099 : x
  2. Step 2: Convert to fraction form
    140,761.40/194,251.38 = 77,099/x
  3. Step 3: Cross multiply
    140,761.40x = 194,251.38 × 77,099
  4. Step 4: Simplify right side
    140,761.40x = 14,976,587,146.62
  5. Step 5: Solve for x
    x = 14,976,587,146.62/140,761.40
  6. Step 6: Final answer
    x = 106,396.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.