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Finding the Fourth Proportional to 199,434, 298,983.21 and 92,763.78

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Solution

The fourth proportional to 199,434, 298,983.21 and 92,763.78 is: 139,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,434 : 298,983.21 = 92,763.78 : x
  2. Step 2: Convert to fraction form
    199,434/298,983.21 = 92,763.78/x
  3. Step 3: Cross multiply
    199,434x = 298,983.21 × 92,763.78
  4. Step 4: Simplify right side
    199,434x = 27,734,812,716.13
  5. Step 5: Solve for x
    x = 27,734,812,716.13/199,434
  6. Step 6: Final answer
    x = 139,067.62

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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.