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Finding the Fourth Proportional to 192,940.52, 289,371.74 and 52,687.40

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Solution

The fourth proportional to 192,940.52, 289,371.74 and 52,687.40 is: 79,020.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,940.52 : 289,371.74 = 52,687.40 : x
  2. Step 2: Convert to fraction form
    192,940.52/289,371.74 = 52,687.40/x
  3. Step 3: Cross multiply
    192,940.52x = 289,371.74 × 52,687.40
  4. Step 4: Simplify right side
    192,940.52x = 15,246,244,614.08
  5. Step 5: Solve for x
    x = 15,246,244,614.08/192,940.52
  6. Step 6: Final answer
    x = 79,020.44

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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.