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Finding the Fourth Proportional to 204,811.50, 307,269.09 and 57,067.50

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Solution

The fourth proportional to 204,811.50, 307,269.09 and 57,067.50 is: 85,615.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,811.50 : 307,269.09 = 57,067.50 : x
  2. Step 2: Convert to fraction form
    204,811.50/307,269.09 = 57,067.50/x
  3. Step 3: Cross multiply
    204,811.50x = 307,269.09 × 57,067.50
  4. Step 4: Simplify right side
    204,811.50x = 17,535,078,793.58
  5. Step 5: Solve for x
    x = 17,535,078,793.58/204,811.50
  6. Step 6: Final answer
    x = 85,615.69

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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.