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Finding the Fourth Proportional to 229,193.60, 343,789.59 and 71,422.16

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Solution

The fourth proportional to 229,193.60, 343,789.59 and 71,422.16 is: 107,132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,193.60 : 343,789.59 = 71,422.16 : x
  2. Step 2: Convert to fraction form
    229,193.60/343,789.59 = 71,422.16/x
  3. Step 3: Cross multiply
    229,193.60x = 343,789.59 × 71,422.16
  4. Step 4: Simplify right side
    229,193.60x = 24,554,195,103.31
  5. Step 5: Solve for x
    x = 24,554,195,103.31/229,193.60
  6. Step 6: Final answer
    x = 107,132.99

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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.