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Finding the Fourth Proportional to 101,976.92, 140,688.84 and 75,183.12

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Solution

The fourth proportional to 101,976.92, 140,688.84 and 75,183.12 is: 103,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,976.92 : 140,688.84 = 75,183.12 : x
  2. Step 2: Convert to fraction form
    101,976.92/140,688.84 = 75,183.12/x
  3. Step 3: Cross multiply
    101,976.92x = 140,688.84 × 75,183.12
  4. Step 4: Simplify right side
    101,976.92x = 10,577,425,940.38
  5. Step 5: Solve for x
    x = 10,577,425,940.38/101,976.92
  6. Step 6: Final answer
    x = 103,723.72

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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.