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Finding the Fourth Proportional to 274,616.75, 411,964.11 and 85,092.01

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Solution

The fourth proportional to 274,616.75, 411,964.11 and 85,092.01 is: 127,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,616.75 : 411,964.11 = 85,092.01 : x
  2. Step 2: Convert to fraction form
    274,616.75/411,964.11 = 85,092.01/x
  3. Step 3: Cross multiply
    274,616.75x = 411,964.11 × 85,092.01
  4. Step 4: Simplify right side
    274,616.75x = 35,054,853,137.85
  5. Step 5: Solve for x
    x = 35,054,853,137.85/274,616.75
  6. Step 6: Final answer
    x = 127,650.09

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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.