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Finding the Fourth Proportional to 225,469.71, 338,243.58 and 75,724.47

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Solution

The fourth proportional to 225,469.71, 338,243.58 and 75,724.47 is: 113,599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,469.71 : 338,243.58 = 75,724.47 : x
  2. Step 2: Convert to fraction form
    225,469.71/338,243.58 = 75,724.47/x
  3. Step 3: Cross multiply
    225,469.71x = 338,243.58 × 75,724.47
  4. Step 4: Simplify right side
    225,469.71x = 25,613,315,826.40
  5. Step 5: Solve for x
    x = 25,613,315,826.40/225,469.71
  6. Step 6: Final answer
    x = 113,599.81

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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.