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Finding the Fourth Proportional to 204,315.52, 306,472.16 and 52,512.48

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Solution

The fourth proportional to 204,315.52, 306,472.16 and 52,512.48 is: 78,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,315.52 : 306,472.16 = 52,512.48 : x
  2. Step 2: Convert to fraction form
    204,315.52/306,472.16 = 52,512.48/x
  3. Step 3: Cross multiply
    204,315.52x = 306,472.16 × 52,512.48
  4. Step 4: Simplify right side
    204,315.52x = 16,093,613,172.56
  5. Step 5: Solve for x
    x = 16,093,613,172.56/204,315.52
  6. Step 6: Final answer
    x = 78,768.43

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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.