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Finding the Fourth Proportional to 192,993.32, 289,934.94 and 185,021.80

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Solution

The fourth proportional to 192,993.32, 289,934.94 and 185,021.80 is: 277,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,993.32 : 289,934.94 = 185,021.80 : x
  2. Step 2: Convert to fraction form
    192,993.32/289,934.94 = 185,021.80/x
  3. Step 3: Cross multiply
    192,993.32x = 289,934.94 × 185,021.80
  4. Step 4: Simplify right side
    192,993.32x = 53,644,284,481.69
  5. Step 5: Solve for x
    x = 53,644,284,481.69/192,993.32
  6. Step 6: Final answer
    x = 277,959.28

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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.