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Finding the Fourth Proportional to 229,604.10, 344,406.15 and 71,833.92

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Solution

The fourth proportional to 229,604.10, 344,406.15 and 71,833.92 is: 107,750.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,604.10 : 344,406.15 = 71,833.92 : x
  2. Step 2: Convert to fraction form
    229,604.10/344,406.15 = 71,833.92/x
  3. Step 3: Cross multiply
    229,604.10x = 344,406.15 × 71,833.92
  4. Step 4: Simplify right side
    229,604.10x = 24,740,043,826.61
  5. Step 5: Solve for x
    x = 24,740,043,826.61/229,604.10
  6. Step 6: Final answer
    x = 107,750.88

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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.