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Finding the Fourth Proportional to 274,469.67, 411,822.25 and 106,108.22

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Solution

The fourth proportional to 274,469.67, 411,822.25 and 106,108.22 is: 159,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,469.67 : 411,822.25 = 106,108.22 : x
  2. Step 2: Convert to fraction form
    274,469.67/411,822.25 = 106,108.22/x
  3. Step 3: Cross multiply
    274,469.67x = 411,822.25 × 106,108.22
  4. Step 4: Simplify right side
    274,469.67x = 43,697,726,668.18
  5. Step 5: Solve for x
    x = 43,697,726,668.18/274,469.67
  6. Step 6: Final answer
    x = 159,207.85

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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.