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Finding the Fourth Proportional to 101,757.26, 140,406.92 and 61,444.02

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Solution

The fourth proportional to 101,757.26, 140,406.92 and 61,444.02 is: 84,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,757.26 : 140,406.92 = 61,444.02 : x
  2. Step 2: Convert to fraction form
    101,757.26/140,406.92 = 61,444.02/x
  3. Step 3: Cross multiply
    101,757.26x = 140,406.92 × 61,444.02
  4. Step 4: Simplify right side
    101,757.26x = 8,627,165,260.55
  5. Step 5: Solve for x
    x = 8,627,165,260.55/101,757.26
  6. Step 6: Final answer
    x = 84,781.81

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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.