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Finding the Fourth Proportional to 242,104.87, 363,159.06 and 84,332.80

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Solution

The fourth proportional to 242,104.87, 363,159.06 and 84,332.80 is: 126,499.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,104.87 : 363,159.06 = 84,332.80 : x
  2. Step 2: Convert to fraction form
    242,104.87/363,159.06 = 84,332.80/x
  3. Step 3: Cross multiply
    242,104.87x = 363,159.06 × 84,332.80
  4. Step 4: Simplify right side
    242,104.87x = 30,626,220,375.17
  5. Step 5: Solve for x
    x = 30,626,220,375.17/242,104.87
  6. Step 6: Final answer
    x = 126,499.81

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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.