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Finding the Fourth Proportional to 204,773.44, 307,139.40 and 54,994.27

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Solution

The fourth proportional to 204,773.44, 307,139.40 and 54,994.27 is: 82,485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,773.44 : 307,139.40 = 54,994.27 : x
  2. Step 2: Convert to fraction form
    204,773.44/307,139.40 = 54,994.27/x
  3. Step 3: Cross multiply
    204,773.44x = 307,139.40 × 54,994.27
  4. Step 4: Simplify right side
    204,773.44x = 16,890,907,091.24
  5. Step 5: Solve for x
    x = 16,890,907,091.24/204,773.44
  6. Step 6: Final answer
    x = 82,485.83

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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.