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Finding the Fourth Proportional to 110,972.50, 166,513.42 and 51,799.57

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Solution

The fourth proportional to 110,972.50, 166,513.42 and 51,799.57 is: 77,724.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,972.50 : 166,513.42 = 51,799.57 : x
  2. Step 2: Convert to fraction form
    110,972.50/166,513.42 = 51,799.57/x
  3. Step 3: Cross multiply
    110,972.50x = 166,513.42 × 51,799.57
  4. Step 4: Simplify right side
    110,972.50x = 8,625,323,203.70
  5. Step 5: Solve for x
    x = 8,625,323,203.70/110,972.50
  6. Step 6: Final answer
    x = 77,724.87

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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.