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Finding the Fourth Proportional to 192,388.10, 288,254.10 and 164,175.80

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Solution

The fourth proportional to 192,388.10, 288,254.10 and 164,175.80 is: 245,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,388.10 : 288,254.10 = 164,175.80 : x
  2. Step 2: Convert to fraction form
    192,388.10/288,254.10 = 164,175.80/x
  3. Step 3: Cross multiply
    192,388.10x = 288,254.10 × 164,175.80
  4. Step 4: Simplify right side
    192,388.10x = 47,324,347,470.78
  5. Step 5: Solve for x
    x = 47,324,347,470.78/192,388.10
  6. Step 6: Final answer
    x = 245,983.76

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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.