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Finding the Fourth Proportional to 204,827.50, 307,240.80 and 55,067.80

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Solution

The fourth proportional to 204,827.50, 307,240.80 and 55,067.80 is: 82,601.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,827.50 : 307,240.80 = 55,067.80 : x
  2. Step 2: Convert to fraction form
    204,827.50/307,240.80 = 55,067.80/x
  3. Step 3: Cross multiply
    204,827.50x = 307,240.80 × 55,067.80
  4. Step 4: Simplify right side
    204,827.50x = 16,919,074,926.24
  5. Step 5: Solve for x
    x = 16,919,074,926.24/204,827.50
  6. Step 6: Final answer
    x = 82,601.58

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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.