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Finding the Fourth Proportional to 284,098.82, 426,074.52 and 84,372.26

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Solution

The fourth proportional to 284,098.82, 426,074.52 and 84,372.26 is: 126,536.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,098.82 : 426,074.52 = 84,372.26 : x
  2. Step 2: Convert to fraction form
    284,098.82/426,074.52 = 84,372.26/x
  3. Step 3: Cross multiply
    284,098.82x = 426,074.52 × 84,372.26
  4. Step 4: Simplify right side
    284,098.82x = 35,948,870,180.82
  5. Step 5: Solve for x
    x = 35,948,870,180.82/284,098.82
  6. Step 6: Final answer
    x = 126,536.50

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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.