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Finding the Fourth Proportional to 242,259.92, 363,438.48 and 84,446

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Solution

The fourth proportional to 242,259.92, 363,438.48 and 84,446 is: 126,685.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,259.92 : 363,438.48 = 84,446 : x
  2. Step 2: Convert to fraction form
    242,259.92/363,438.48 = 84,446/x
  3. Step 3: Cross multiply
    242,259.92x = 363,438.48 × 84,446
  4. Step 4: Simplify right side
    242,259.92x = 30,690,925,882.08
  5. Step 5: Solve for x
    x = 30,690,925,882.08/242,259.92
  6. Step 6: Final answer
    x = 126,685.94

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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.