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Finding the Fourth Proportional to 274,215.13, 411,321.87 and 96,679.33

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Solution

The fourth proportional to 274,215.13, 411,321.87 and 96,679.33 is: 145,018.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,215.13 : 411,321.87 = 96,679.33 : x
  2. Step 2: Convert to fraction form
    274,215.13/411,321.87 = 96,679.33/x
  3. Step 3: Cross multiply
    274,215.13x = 411,321.87 × 96,679.33
  4. Step 4: Simplify right side
    274,215.13x = 39,766,321,777.64
  5. Step 5: Solve for x
    x = 39,766,321,777.64/274,215.13
  6. Step 6: Final answer
    x = 145,018.70

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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.