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Finding the Fourth Proportional to 200,395, 300,638.58 and 69,067

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Solution

The fourth proportional to 200,395, 300,638.58 and 69,067 is: 103,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,395 : 300,638.58 = 69,067 : x
  2. Step 2: Convert to fraction form
    200,395/300,638.58 = 69,067/x
  3. Step 3: Cross multiply
    200,395x = 300,638.58 × 69,067
  4. Step 4: Simplify right side
    200,395x = 20,764,204,804.86
  5. Step 5: Solve for x
    x = 20,764,204,804.86/200,395
  6. Step 6: Final answer
    x = 103,616.38

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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.