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Finding the Fourth Proportional to 225,656.46, 338,523.66 and 75,911.22

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Solution

The fourth proportional to 225,656.46, 338,523.66 and 75,911.22 is: 113,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,656.46 : 338,523.66 = 75,911.22 : x
  2. Step 2: Convert to fraction form
    225,656.46/338,523.66 = 75,911.22/x
  3. Step 3: Cross multiply
    225,656.46x = 338,523.66 × 75,911.22
  4. Step 4: Simplify right side
    225,656.46x = 25,697,744,029.47
  5. Step 5: Solve for x
    x = 25,697,744,029.47/225,656.46
  6. Step 6: Final answer
    x = 113,879.94

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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.