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Finding the Fourth Proportional to 225,608, 338,417.44 and 75,850.24

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Solution

The fourth proportional to 225,608, 338,417.44 and 75,850.24 is: 113,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,608 : 338,417.44 = 75,850.24 : x
  2. Step 2: Convert to fraction form
    225,608/338,417.44 = 75,850.24/x
  3. Step 3: Cross multiply
    225,608x = 338,417.44 × 75,850.24
  4. Step 4: Simplify right side
    225,608x = 25,669,044,044.19
  5. Step 5: Solve for x
    x = 25,669,044,044.19/225,608
  6. Step 6: Final answer
    x = 113,777.19

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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.