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Finding the Fourth Proportional to 192,204.40, 288,305.92 and 51,963

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Solution

The fourth proportional to 192,204.40, 288,305.92 and 51,963 is: 77,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,204.40 : 288,305.92 = 51,963 : x
  2. Step 2: Convert to fraction form
    192,204.40/288,305.92 = 51,963/x
  3. Step 3: Cross multiply
    192,204.40x = 288,305.92 × 51,963
  4. Step 4: Simplify right side
    192,204.40x = 14,981,240,520.96
  5. Step 5: Solve for x
    x = 14,981,240,520.96/192,204.40
  6. Step 6: Final answer
    x = 77,944.32

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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.