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Finding the Fourth Proportional to 225,480.98, 338,238.58 and 75,722.06

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Solution

The fourth proportional to 225,480.98, 338,238.58 and 75,722.06 is: 113,588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,480.98 : 338,238.58 = 75,722.06 : x
  2. Step 2: Convert to fraction form
    225,480.98/338,238.58 = 75,722.06/x
  3. Step 3: Cross multiply
    225,480.98x = 338,238.58 × 75,722.06
  4. Step 4: Simplify right side
    225,480.98x = 25,612,122,049.07
  5. Step 5: Solve for x
    x = 25,612,122,049.07/225,480.98
  6. Step 6: Final answer
    x = 113,588.84

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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.