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Finding the Fourth Proportional to 192,913.20, 289,024.20 and 165,265.20

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Solution

The fourth proportional to 192,913.20, 289,024.20 and 165,265.20 is: 247,601.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,913.20 : 289,024.20 = 165,265.20 : x
  2. Step 2: Convert to fraction form
    192,913.20/289,024.20 = 165,265.20/x
  3. Step 3: Cross multiply
    192,913.20x = 289,024.20 × 165,265.20
  4. Step 4: Simplify right side
    192,913.20x = 47,765,642,217.84
  5. Step 5: Solve for x
    x = 47,765,642,217.84/192,913.20
  6. Step 6: Final answer
    x = 247,601.73

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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.