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Finding the Fourth Proportional to 271,223.56, 406,829.94 and 84,234.52

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Solution

The fourth proportional to 271,223.56, 406,829.94 and 84,234.52 is: 126,350.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,223.56 : 406,829.94 = 84,234.52 : x
  2. Step 2: Convert to fraction form
    271,223.56/406,829.94 = 84,234.52/x
  3. Step 3: Cross multiply
    271,223.56x = 406,829.94 × 84,234.52
  4. Step 4: Simplify right side
    271,223.56x = 34,269,124,717.53
  5. Step 5: Solve for x
    x = 34,269,124,717.53/271,223.56
  6. Step 6: Final answer
    x = 126,350.10

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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.