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Finding the Fourth Proportional to 192,104.28, 288,156.48 and 51,862.80

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Solution

The fourth proportional to 192,104.28, 288,156.48 and 51,862.80 is: 77,794.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,104.28 : 288,156.48 = 51,862.80 : x
  2. Step 2: Convert to fraction form
    192,104.28/288,156.48 = 51,862.80/x
  3. Step 3: Cross multiply
    192,104.28x = 288,156.48 × 51,862.80
  4. Step 4: Simplify right side
    192,104.28x = 14,944,601,890.94
  5. Step 5: Solve for x
    x = 14,944,601,890.94/192,104.28
  6. Step 6: Final answer
    x = 77,794.22

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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.