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Finding the Fourth Proportional to 192,139.38, 288,208.44 and 51,898.05

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Solution

The fourth proportional to 192,139.38, 288,208.44 and 51,898.05 is: 77,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,139.38 : 288,208.44 = 51,898.05 : x
  2. Step 2: Convert to fraction form
    192,139.38/288,208.44 = 51,898.05/x
  3. Step 3: Cross multiply
    192,139.38x = 288,208.44 × 51,898.05
  4. Step 4: Simplify right side
    192,139.38x = 14,957,456,029.54
  5. Step 5: Solve for x
    x = 14,957,456,029.54/192,139.38
  6. Step 6: Final answer
    x = 77,846.90

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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.