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Finding the Fourth Proportional to 225,622.92, 338,196.24 and 75,721.08

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Solution

The fourth proportional to 225,622.92, 338,196.24 and 75,721.08 is: 113,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,622.92 : 338,196.24 = 75,721.08 : x
  2. Step 2: Convert to fraction form
    225,622.92/338,196.24 = 75,721.08/x
  3. Step 3: Cross multiply
    225,622.92x = 338,196.24 × 75,721.08
  4. Step 4: Simplify right side
    225,622.92x = 25,608,584,544.74
  5. Step 5: Solve for x
    x = 25,608,584,544.74/225,622.92
  6. Step 6: Final answer
    x = 113,501.70

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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.