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Finding the Fourth Proportional to 100,468.96, 150,737.76 and 62,983.78

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Solution

The fourth proportional to 100,468.96, 150,737.76 and 62,983.78 is: 94,497.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,468.96 : 150,737.76 = 62,983.78 : x
  2. Step 2: Convert to fraction form
    100,468.96/150,737.76 = 62,983.78/x
  3. Step 3: Cross multiply
    100,468.96x = 150,737.76 × 62,983.78
  4. Step 4: Simplify right side
    100,468.96x = 9,494,033,536.69
  5. Step 5: Solve for x
    x = 9,494,033,536.69/100,468.96
  6. Step 6: Final answer
    x = 94,497.18

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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.