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Finding the Fourth Proportional to 231,449.96, 347,177.82 and 73,677.80

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Solution

The fourth proportional to 231,449.96, 347,177.82 and 73,677.80 is: 110,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,449.96 : 347,177.82 = 73,677.80 : x
  2. Step 2: Convert to fraction form
    231,449.96/347,177.82 = 73,677.80/x
  3. Step 3: Cross multiply
    231,449.96x = 347,177.82 × 73,677.80
  4. Step 4: Simplify right side
    231,449.96x = 25,579,297,986.40
  5. Step 5: Solve for x
    x = 25,579,297,986.40/231,449.96
  6. Step 6: Final answer
    x = 110,517.62

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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.