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Finding the Fourth Proportional to 274,151.98, 411,233.61 and 84,612.47

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Solution

The fourth proportional to 274,151.98, 411,233.61 and 84,612.47 is: 126,920.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,151.98 : 411,233.61 = 84,612.47 : x
  2. Step 2: Convert to fraction form
    274,151.98/411,233.61 = 84,612.47/x
  3. Step 3: Cross multiply
    274,151.98x = 411,233.61 × 84,612.47
  4. Step 4: Simplify right side
    274,151.98x = 34,795,491,489.12
  5. Step 5: Solve for x
    x = 34,795,491,489.12/274,151.98
  6. Step 6: Final answer
    x = 126,920.45

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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.