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Finding the Fourth Proportional to 195,849.87, 293,749.78 and 75,824.71

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Solution

The fourth proportional to 195,849.87, 293,749.78 and 75,824.71 is: 113,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,849.87 : 293,749.78 = 75,824.71 : x
  2. Step 2: Convert to fraction form
    195,849.87/293,749.78 = 75,824.71/x
  3. Step 3: Cross multiply
    195,849.87x = 293,749.78 × 75,824.71
  4. Step 4: Simplify right side
    195,849.87x = 22,273,491,472.50
  5. Step 5: Solve for x
    x = 22,273,491,472.50/195,849.87
  6. Step 6: Final answer
    x = 113,727.38

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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.