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Finding the Fourth Proportional to 192,204.90, 288,306.67 and 51,963.50

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Solution

The fourth proportional to 192,204.90, 288,306.67 and 51,963.50 is: 77,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,204.90 : 288,306.67 = 51,963.50 : x
  2. Step 2: Convert to fraction form
    192,204.90/288,306.67 = 51,963.50/x
  3. Step 3: Cross multiply
    192,204.90x = 288,306.67 × 51,963.50
  4. Step 4: Simplify right side
    192,204.90x = 14,981,423,646.55
  5. Step 5: Solve for x
    x = 14,981,423,646.55/192,204.90
  6. Step 6: Final answer
    x = 77,945.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.