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Finding the Fourth Proportional to 223,568.80, 335,343.60 and 75,824.80

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Solution

The fourth proportional to 223,568.80, 335,343.60 and 75,824.80 is: 113,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,568.80 : 335,343.60 = 75,824.80 : x
  2. Step 2: Convert to fraction form
    223,568.80/335,343.60 = 75,824.80/x
  3. Step 3: Cross multiply
    223,568.80x = 335,343.60 × 75,824.80
  4. Step 4: Simplify right side
    223,568.80x = 25,427,361,401.28
  5. Step 5: Solve for x
    x = 25,427,361,401.28/223,568.80
  6. Step 6: Final answer
    x = 113,733.94

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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.