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Finding the Fourth Proportional to 225,599.96, 338,387.49 and 75,824.80

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Solution

The fourth proportional to 225,599.96, 338,387.49 and 75,824.80 is: 113,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,599.96 : 338,387.49 = 75,824.80 : x
  2. Step 2: Convert to fraction form
    225,599.96/338,387.49 = 75,824.80/x
  3. Step 3: Cross multiply
    225,599.96x = 338,387.49 × 75,824.80
  4. Step 4: Simplify right side
    225,599.96x = 25,658,162,905.78
  5. Step 5: Solve for x
    x = 25,658,162,905.78/225,599.96
  6. Step 6: Final answer
    x = 113,733.01

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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.