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Finding the Fourth Proportional to 100,217.24, 150,332.87 and 40,245.71

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Solution

The fourth proportional to 100,217.24, 150,332.87 and 40,245.71 is: 60,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.24 : 150,332.87 = 40,245.71 : x
  2. Step 2: Convert to fraction form
    100,217.24/150,332.87 = 40,245.71/x
  3. Step 3: Cross multiply
    100,217.24x = 150,332.87 × 40,245.71
  4. Step 4: Simplify right side
    100,217.24x = 6,050,252,337.82
  5. Step 5: Solve for x
    x = 6,050,252,337.82/100,217.24
  6. Step 6: Final answer
    x = 60,371.38

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