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Finding the Fourth Proportional to 231,498.20, 347,247.30 and 65,286.20

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Solution

The fourth proportional to 231,498.20, 347,247.30 and 65,286.20 is: 97,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,498.20 : 347,247.30 = 65,286.20 : x
  2. Step 2: Convert to fraction form
    231,498.20/347,247.30 = 65,286.20/x
  3. Step 3: Cross multiply
    231,498.20x = 347,247.30 × 65,286.20
  4. Step 4: Simplify right side
    231,498.20x = 22,670,456,677.26
  5. Step 5: Solve for x
    x = 22,670,456,677.26/231,498.20
  6. Step 6: Final answer
    x = 97,929.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.