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Finding the Fourth Proportional to 202,225.75, 303,338.64 and 54,481.75

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Solution

The fourth proportional to 202,225.75, 303,338.64 and 54,481.75 is: 81,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,225.75 : 303,338.64 = 54,481.75 : x
  2. Step 2: Convert to fraction form
    202,225.75/303,338.64 = 54,481.75/x
  3. Step 3: Cross multiply
    202,225.75x = 303,338.64 × 54,481.75
  4. Step 4: Simplify right side
    202,225.75x = 16,526,419,949.82
  5. Step 5: Solve for x
    x = 16,526,419,949.82/202,225.75
  6. Step 6: Final answer
    x = 81,722.63

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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.