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Finding the Fourth Proportional to 192,759.65, 288,874.21 and 164,148.56

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Solution

The fourth proportional to 192,759.65, 288,874.21 and 164,148.56 is: 245,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,759.65 : 288,874.21 = 164,148.56 : x
  2. Step 2: Convert to fraction form
    192,759.65/288,874.21 = 164,148.56/x
  3. Step 3: Cross multiply
    192,759.65x = 288,874.21 × 164,148.56
  4. Step 4: Simplify right side
    192,759.65x = 47,418,285,592.64
  5. Step 5: Solve for x
    x = 47,418,285,592.64/192,759.65
  6. Step 6: Final answer
    x = 245,996.95

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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.