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Finding the Fourth Proportional to 199,571.25, 299,470.48 and 73,194.65

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Solution

The fourth proportional to 199,571.25, 299,470.48 and 73,194.65 is: 109,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,571.25 : 299,470.48 = 73,194.65 : x
  2. Step 2: Convert to fraction form
    199,571.25/299,470.48 = 73,194.65/x
  3. Step 3: Cross multiply
    199,571.25x = 299,470.48 × 73,194.65
  4. Step 4: Simplify right side
    199,571.25x = 21,919,635,105.61
  5. Step 5: Solve for x
    x = 21,919,635,105.61/199,571.25
  6. Step 6: Final answer
    x = 109,833.63

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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.