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Finding the Fourth Proportional to 274,100.82, 411,198.11 and 94,177.62

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Solution

The fourth proportional to 274,100.82, 411,198.11 and 94,177.62 is: 141,282.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,100.82 : 411,198.11 = 94,177.62 : x
  2. Step 2: Convert to fraction form
    274,100.82/411,198.11 = 94,177.62/x
  3. Step 3: Cross multiply
    274,100.82x = 411,198.11 × 94,177.62
  4. Step 4: Simplify right side
    274,100.82x = 38,725,659,348.30
  5. Step 5: Solve for x
    x = 38,725,659,348.30/274,100.82
  6. Step 6: Final answer
    x = 141,282.54

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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.