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Finding the Fourth Proportional to 192,452.57, 288,940.64 and 108,271.97

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Solution

The fourth proportional to 192,452.57, 288,940.64 and 108,271.97 is: 162,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,452.57 : 288,940.64 = 108,271.97 : x
  2. Step 2: Convert to fraction form
    192,452.57/288,940.64 = 108,271.97/x
  3. Step 3: Cross multiply
    192,452.57x = 288,940.64 × 108,271.97
  4. Step 4: Simplify right side
    192,452.57x = 31,284,172,305.86
  5. Step 5: Solve for x
    x = 31,284,172,305.86/192,452.57
  6. Step 6: Final answer
    x = 162,555.23

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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.