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Finding the Fourth Proportional to 225,478.24, 338,225.56 and 75,723.40

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Solution

The fourth proportional to 225,478.24, 338,225.56 and 75,723.40 is: 113,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,478.24 : 338,225.56 = 75,723.40 : x
  2. Step 2: Convert to fraction form
    225,478.24/338,225.56 = 75,723.40/x
  3. Step 3: Cross multiply
    225,478.24x = 338,225.56 × 75,723.40
  4. Step 4: Simplify right side
    225,478.24x = 25,611,589,370.10
  5. Step 5: Solve for x
    x = 25,611,589,370.10/225,478.24
  6. Step 6: Final answer
    x = 113,587.85

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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.