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Finding the Fourth Proportional to 231,874.40, 347,811.60 and 195,132.80

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Solution

The fourth proportional to 231,874.40, 347,811.60 and 195,132.80 is: 292,699.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,874.40 : 347,811.60 = 195,132.80 : x
  2. Step 2: Convert to fraction form
    231,874.40/347,811.60 = 195,132.80/x
  3. Step 3: Cross multiply
    231,874.40x = 347,811.60 × 195,132.80
  4. Step 4: Simplify right side
    231,874.40x = 67,869,451,380.48
  5. Step 5: Solve for x
    x = 67,869,451,380.48/231,874.40
  6. Step 6: Final answer
    x = 292,699.20

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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.