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Finding the Fourth Proportional to 284,092.92, 426,206.10 and 84,414.84

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Solution

The fourth proportional to 284,092.92, 426,206.10 and 84,414.84 is: 126,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,092.92 : 426,206.10 = 84,414.84 : x
  2. Step 2: Convert to fraction form
    284,092.92/426,206.10 = 84,414.84/x
  3. Step 3: Cross multiply
    284,092.92x = 426,206.10 × 84,414.84
  4. Step 4: Simplify right side
    284,092.92x = 35,978,119,738.52
  5. Step 5: Solve for x
    x = 35,978,119,738.52/284,092.92
  6. Step 6: Final answer
    x = 126,642.09

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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.