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Finding the Fourth Proportional to 200,612, 276,844.56 and 111,188

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Solution

The fourth proportional to 200,612, 276,844.56 and 111,188 is: 153,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,612 : 276,844.56 = 111,188 : x
  2. Step 2: Convert to fraction form
    200,612/276,844.56 = 111,188/x
  3. Step 3: Cross multiply
    200,612x = 276,844.56 × 111,188
  4. Step 4: Simplify right side
    200,612x = 30,781,792,937.28
  5. Step 5: Solve for x
    x = 30,781,792,937.28/200,612
  6. Step 6: Final answer
    x = 153,439.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.