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Finding the Fourth Proportional to 274,174.22, 411,108.56 and 84,580.80

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Solution

The fourth proportional to 274,174.22, 411,108.56 and 84,580.80 is: 126,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,174.22 : 411,108.56 = 84,580.80 : x
  2. Step 2: Convert to fraction form
    274,174.22/411,108.56 = 84,580.80/x
  3. Step 3: Cross multiply
    274,174.22x = 411,108.56 × 84,580.80
  4. Step 4: Simplify right side
    274,174.22x = 34,771,890,891.65
  5. Step 5: Solve for x
    x = 34,771,890,891.65/274,174.22
  6. Step 6: Final answer
    x = 126,824.07

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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.