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Finding the Fourth Proportional to 100,600.38, 150,932.16 and 41,463.90

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Solution

The fourth proportional to 100,600.38, 150,932.16 and 41,463.90 is: 62,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,600.38 : 150,932.16 = 41,463.90 : x
  2. Step 2: Convert to fraction form
    100,600.38/150,932.16 = 41,463.90/x
  3. Step 3: Cross multiply
    100,600.38x = 150,932.16 × 41,463.90
  4. Step 4: Simplify right side
    100,600.38x = 6,258,235,989.02
  5. Step 5: Solve for x
    x = 6,258,235,989.02/100,600.38
  6. Step 6: Final answer
    x = 62,208.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.