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Finding the Fourth Proportional to 202,974.75, 304,463.39 and 53,213.69

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Solution

The fourth proportional to 202,974.75, 304,463.39 and 53,213.69 is: 79,820.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,974.75 : 304,463.39 = 53,213.69 : x
  2. Step 2: Convert to fraction form
    202,974.75/304,463.39 = 53,213.69/x
  3. Step 3: Cross multiply
    202,974.75x = 304,463.39 × 53,213.69
  4. Step 4: Simplify right side
    202,974.75x = 16,201,620,946.90
  5. Step 5: Solve for x
    x = 16,201,620,946.90/202,974.75
  6. Step 6: Final answer
    x = 79,820.87

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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.