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Finding the Fourth Proportional to 242,280.92, 363,470.04 and 84,467

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Solution

The fourth proportional to 242,280.92, 363,470.04 and 84,467 is: 126,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,280.92 : 363,470.04 = 84,467 : x
  2. Step 2: Convert to fraction form
    242,280.92/363,470.04 = 84,467/x
  3. Step 3: Cross multiply
    242,280.92x = 363,470.04 × 84,467
  4. Step 4: Simplify right side
    242,280.92x = 30,701,223,868.68
  5. Step 5: Solve for x
    x = 30,701,223,868.68/242,280.92
  6. Step 6: Final answer
    x = 126,717.46

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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.