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Finding the Fourth Proportional to 231,232.41, 317,876.58 and 198,847.80

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Solution

The fourth proportional to 231,232.41, 317,876.58 and 198,847.80 is: 273,357.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,232.41 : 317,876.58 = 198,847.80 : x
  2. Step 2: Convert to fraction form
    231,232.41/317,876.58 = 198,847.80/x
  3. Step 3: Cross multiply
    231,232.41x = 317,876.58 × 198,847.80
  4. Step 4: Simplify right side
    231,232.41x = 63,209,058,604.52
  5. Step 5: Solve for x
    x = 63,209,058,604.52/231,232.41
  6. Step 6: Final answer
    x = 273,357.26

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.