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Finding the Fourth Proportional to 274,081.86, 411,193.56 and 84,537.94

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Solution

The fourth proportional to 274,081.86, 411,193.56 and 84,537.94 is: 126,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,081.86 : 411,193.56 = 84,537.94 : x
  2. Step 2: Convert to fraction form
    274,081.86/411,193.56 = 84,537.94/x
  3. Step 3: Cross multiply
    274,081.86x = 411,193.56 × 84,537.94
  4. Step 4: Simplify right side
    274,081.86x = 34,761,456,503.67
  5. Step 5: Solve for x
    x = 34,761,456,503.67/274,081.86
  6. Step 6: Final answer
    x = 126,828.74

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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.