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Finding the Fourth Proportional to 192,834.92, 289,222.68 and 52,604.48

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Solution

The fourth proportional to 192,834.92, 289,222.68 and 52,604.48 is: 78,898.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,834.92 : 289,222.68 = 52,604.48 : x
  2. Step 2: Convert to fraction form
    192,834.92/289,222.68 = 52,604.48/x
  3. Step 3: Cross multiply
    192,834.92x = 289,222.68 × 52,604.48
  4. Step 4: Simplify right side
    192,834.92x = 15,214,408,685.61
  5. Step 5: Solve for x
    x = 15,214,408,685.61/192,834.92
  6. Step 6: Final answer
    x = 78,898.62

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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.