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Finding the Fourth Proportional to 204,498.26, 306,751.65 and 54,738.38

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Solution

The fourth proportional to 204,498.26, 306,751.65 and 54,738.38 is: 82,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,498.26 : 306,751.65 = 54,738.38 : x
  2. Step 2: Convert to fraction form
    204,498.26/306,751.65 = 54,738.38/x
  3. Step 3: Cross multiply
    204,498.26x = 306,751.65 × 54,738.38
  4. Step 4: Simplify right side
    204,498.26x = 16,791,086,644.30
  5. Step 5: Solve for x
    x = 16,791,086,644.30/204,498.26
  6. Step 6: Final answer
    x = 82,108.70

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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.