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Finding the Fourth Proportional to 204,009.49, 306,013.92 and 54,249.85

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Solution

The fourth proportional to 204,009.49, 306,013.92 and 54,249.85 is: 81,374.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,009.49 : 306,013.92 = 54,249.85 : x
  2. Step 2: Convert to fraction form
    204,009.49/306,013.92 = 54,249.85/x
  3. Step 3: Cross multiply
    204,009.49x = 306,013.92 × 54,249.85
  4. Step 4: Simplify right side
    204,009.49x = 16,601,209,257.91
  5. Step 5: Solve for x
    x = 16,601,209,257.91/204,009.49
  6. Step 6: Final answer
    x = 81,374.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.