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Finding the Fourth Proportional to 231,491.20, 347,236.80 and 65,279.20

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Solution

The fourth proportional to 231,491.20, 347,236.80 and 65,279.20 is: 97,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,491.20 : 347,236.80 = 65,279.20 : x
  2. Step 2: Convert to fraction form
    231,491.20/347,236.80 = 65,279.20/x
  3. Step 3: Cross multiply
    231,491.20x = 347,236.80 × 65,279.20
  4. Step 4: Simplify right side
    231,491.20x = 22,667,340,514.56
  5. Step 5: Solve for x
    x = 22,667,340,514.56/231,491.20
  6. Step 6: Final answer
    x = 97,918.80

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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.