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Finding the Fourth Proportional to 204,306.53, 306,393.84 and 74,456.85

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Solution

The fourth proportional to 204,306.53, 306,393.84 and 74,456.85 is: 111,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,306.53 : 306,393.84 = 74,456.85 : x
  2. Step 2: Convert to fraction form
    204,306.53/306,393.84 = 74,456.85/x
  3. Step 3: Cross multiply
    204,306.53x = 306,393.84 × 74,456.85
  4. Step 4: Simplify right side
    204,306.53x = 22,813,120,185.80
  5. Step 5: Solve for x
    x = 22,813,120,185.80/204,306.53
  6. Step 6: Final answer
    x = 111,661.24

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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.