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Finding the Fourth Proportional to 100,614.60, 150,781.68 and 75,625.48

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Solution

The fourth proportional to 100,614.60, 150,781.68 and 75,625.48 is: 113,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,614.60 : 150,781.68 = 75,625.48 : x
  2. Step 2: Convert to fraction form
    100,614.60/150,781.68 = 75,625.48/x
  3. Step 3: Cross multiply
    100,614.60x = 150,781.68 × 75,625.48
  4. Step 4: Simplify right side
    100,614.60x = 11,402,936,925.21
  5. Step 5: Solve for x
    x = 11,402,936,925.21/100,614.60
  6. Step 6: Final answer
    x = 113,332.83

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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.