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Finding the Fourth Proportional to 192,498.10, 288,419.10 and 164,285.80

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Solution

The fourth proportional to 192,498.10, 288,419.10 and 164,285.80 is: 246,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,498.10 : 288,419.10 = 164,285.80 : x
  2. Step 2: Convert to fraction form
    192,498.10/288,419.10 = 164,285.80/x
  3. Step 3: Cross multiply
    192,498.10x = 288,419.10 × 164,285.80
  4. Step 4: Simplify right side
    192,498.10x = 47,383,162,578.78
  5. Step 5: Solve for x
    x = 47,383,162,578.78/192,498.10
  6. Step 6: Final answer
    x = 246,148.73

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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.