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Finding the Fourth Proportional to 242,189.92, 363,333.48 and 84,376

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Solution

The fourth proportional to 242,189.92, 363,333.48 and 84,376 is: 126,580.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,189.92 : 363,333.48 = 84,376 : x
  2. Step 2: Convert to fraction form
    242,189.92/363,333.48 = 84,376/x
  3. Step 3: Cross multiply
    242,189.92x = 363,333.48 × 84,376
  4. Step 4: Simplify right side
    242,189.92x = 30,656,625,708.48
  5. Step 5: Solve for x
    x = 30,656,625,708.48/242,189.92
  6. Step 6: Final answer
    x = 126,580.93

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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.