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Finding the Fourth Proportional to 101,770.76, 140,512.92 and 63,545.24

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Solution

The fourth proportional to 101,770.76, 140,512.92 and 63,545.24 is: 87,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,770.76 : 140,512.92 = 63,545.24 : x
  2. Step 2: Convert to fraction form
    101,770.76/140,512.92 = 63,545.24/x
  3. Step 3: Cross multiply
    101,770.76x = 140,512.92 × 63,545.24
  4. Step 4: Simplify right side
    101,770.76x = 8,928,927,224.50
  5. Step 5: Solve for x
    x = 8,928,927,224.50/101,770.76
  6. Step 6: Final answer
    x = 87,735.68

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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.