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Finding the Fourth Proportional to 200,608.20, 300,700.13 and 74,167.25

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Solution

The fourth proportional to 200,608.20, 300,700.13 and 74,167.25 is: 111,172.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,608.20 : 300,700.13 = 74,167.25 : x
  2. Step 2: Convert to fraction form
    200,608.20/300,700.13 = 74,167.25/x
  3. Step 3: Cross multiply
    200,608.20x = 300,700.13 × 74,167.25
  4. Step 4: Simplify right side
    200,608.20x = 22,302,099,842.41
  5. Step 5: Solve for x
    x = 22,302,099,842.41/200,608.20
  6. Step 6: Final answer
    x = 111,172.42

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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.