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Finding the Fourth Proportional to 200,268, 300,204.24 and 111,563.28

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Solution

The fourth proportional to 200,268, 300,204.24 and 111,563.28 is: 167,234.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,268 : 300,204.24 = 111,563.28 : x
  2. Step 2: Convert to fraction form
    200,268/300,204.24 = 111,563.28/x
  3. Step 3: Cross multiply
    200,268x = 300,204.24 × 111,563.28
  4. Step 4: Simplify right side
    200,268x = 33,491,769,684.31
  5. Step 5: Solve for x
    x = 33,491,769,684.31/200,268
  6. Step 6: Final answer
    x = 167,234.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.