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Finding the Fourth Proportional to 229,193.85, 343,789.97 and 71,422.41

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Solution

The fourth proportional to 229,193.85, 343,789.97 and 71,422.41 is: 107,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,193.85 : 343,789.97 = 71,422.41 : x
  2. Step 2: Convert to fraction form
    229,193.85/343,789.97 = 71,422.41/x
  3. Step 3: Cross multiply
    229,193.85x = 343,789.97 × 71,422.41
  4. Step 4: Simplify right side
    229,193.85x = 24,554,307,834.12
  5. Step 5: Solve for x
    x = 24,554,307,834.12/229,193.85
  6. Step 6: Final answer
    x = 107,133.36

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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.