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Finding the Fourth Proportional to 192,711.52, 288,967.68 and 84,596.64

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Solution

The fourth proportional to 192,711.52, 288,967.68 and 84,596.64 is: 126,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,711.52 : 288,967.68 = 84,596.64 : x
  2. Step 2: Convert to fraction form
    192,711.52/288,967.68 = 84,596.64/x
  3. Step 3: Cross multiply
    192,711.52x = 288,967.68 × 84,596.64
  4. Step 4: Simplify right side
    192,711.52x = 24,445,693,395.73
  5. Step 5: Solve for x
    x = 24,445,693,395.73/192,711.52
  6. Step 6: Final answer
    x = 126,851.23

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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.