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Finding the Fourth Proportional to 229,711.96, 344,438.34 and 71,898.04

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Solution

The fourth proportional to 229,711.96, 344,438.34 and 71,898.04 is: 107,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,711.96 : 344,438.34 = 71,898.04 : x
  2. Step 2: Convert to fraction form
    229,711.96/344,438.34 = 71,898.04/x
  3. Step 3: Cross multiply
    229,711.96x = 344,438.34 × 71,898.04
  4. Step 4: Simplify right side
    229,711.96x = 24,764,441,546.85
  5. Step 5: Solve for x
    x = 24,764,441,546.85/229,711.96
  6. Step 6: Final answer
    x = 107,806.50

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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.