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Finding the Fourth Proportional to 204,799, 307,198.52 and 57,055

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Solution

The fourth proportional to 204,799, 307,198.52 and 57,055 is: 85,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,799 : 307,198.52 = 57,055 : x
  2. Step 2: Convert to fraction form
    204,799/307,198.52 = 57,055/x
  3. Step 3: Cross multiply
    204,799x = 307,198.52 × 57,055
  4. Step 4: Simplify right side
    204,799x = 17,527,211,558.60
  5. Step 5: Solve for x
    x = 17,527,211,558.60/204,799
  6. Step 6: Final answer
    x = 85,582.51

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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.