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Finding the Fourth Proportional to 192,104.62, 288,194.28 and 73,767.26

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Solution

The fourth proportional to 192,104.62, 288,194.28 and 73,767.26 is: 110,665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,104.62 : 288,194.28 = 73,767.26 : x
  2. Step 2: Convert to fraction form
    192,104.62/288,194.28 = 73,767.26/x
  3. Step 3: Cross multiply
    192,104.62x = 288,194.28 × 73,767.26
  4. Step 4: Simplify right side
    192,104.62x = 21,259,302,383.27
  5. Step 5: Solve for x
    x = 21,259,302,383.27/192,104.62
  6. Step 6: Final answer
    x = 110,665.23

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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.