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Finding the Fourth Proportional to 225,571.56, 338,357.36 and 75,811.86

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Solution

The fourth proportional to 225,571.56, 338,357.36 and 75,811.86 is: 113,717.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,571.56 : 338,357.36 = 75,811.86 : x
  2. Step 2: Convert to fraction form
    225,571.56/338,357.36 = 75,811.86/x
  3. Step 3: Cross multiply
    225,571.56x = 338,357.36 × 75,811.86
  4. Step 4: Simplify right side
    225,571.56x = 25,651,500,806.29
  5. Step 5: Solve for x
    x = 25,651,500,806.29/225,571.56
  6. Step 6: Final answer
    x = 113,717.80

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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.