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Finding the Fourth Proportional to 78,138.68, 107,825 and 44,150.12

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Solution

The fourth proportional to 78,138.68, 107,825 and 44,150.12 is: 60,923.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138.68 : 107,825 = 44,150.12 : x
  2. Step 2: Convert to fraction form
    78,138.68/107,825 = 44,150.12/x
  3. Step 3: Cross multiply
    78,138.68x = 107,825 × 44,150.12
  4. Step 4: Simplify right side
    78,138.68x = 4,760,486,689
  5. Step 5: Solve for x
    x = 4,760,486,689/78,138.68
  6. Step 6: Final answer
    x = 60,923.56

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