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Finding the Fourth Proportional to 204,853.20, 307,279.80 and 169,861.20

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Solution

The fourth proportional to 204,853.20, 307,279.80 and 169,861.20 is: 254,791.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,853.20 : 307,279.80 = 169,861.20 : x
  2. Step 2: Convert to fraction form
    204,853.20/307,279.80 = 169,861.20/x
  3. Step 3: Cross multiply
    204,853.20x = 307,279.80 × 169,861.20
  4. Step 4: Simplify right side
    204,853.20x = 52,194,915,563.76
  5. Step 5: Solve for x
    x = 52,194,915,563.76/204,853.20
  6. Step 6: Final answer
    x = 254,791.80

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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.