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Finding the Fourth Proportional to 192,455.59, 288,468.33 and 80,098.48

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Solution

The fourth proportional to 192,455.59, 288,468.33 and 80,098.48 is: 120,058.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,455.59 : 288,468.33 = 80,098.48 : x
  2. Step 2: Convert to fraction form
    192,455.59/288,468.33 = 80,098.48/x
  3. Step 3: Cross multiply
    192,455.59x = 288,468.33 × 80,098.48
  4. Step 4: Simplify right side
    192,455.59x = 23,105,874,761.14
  5. Step 5: Solve for x
    x = 23,105,874,761.14/192,455.59
  6. Step 6: Final answer
    x = 120,058.22

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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.