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Finding the Fourth Proportional to 192,032.76, 288,083.28 and 65,687.04

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Solution

The fourth proportional to 192,032.76, 288,083.28 and 65,687.04 is: 98,542.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,032.76 : 288,083.28 = 65,687.04 : x
  2. Step 2: Convert to fraction form
    192,032.76/288,083.28 = 65,687.04/x
  3. Step 3: Cross multiply
    192,032.76x = 288,083.28 × 65,687.04
  4. Step 4: Simplify right side
    192,032.76x = 18,923,337,936.69
  5. Step 5: Solve for x
    x = 18,923,337,936.69/192,032.76
  6. Step 6: Final answer
    x = 98,542.24

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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.