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Finding the Fourth Proportional to 133,983.66, 200,680.25 and 74,672.22

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Solution

The fourth proportional to 133,983.66, 200,680.25 and 74,672.22 is: 111,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,983.66 : 200,680.25 = 74,672.22 : x
  2. Step 2: Convert to fraction form
    133,983.66/200,680.25 = 74,672.22/x
  3. Step 3: Cross multiply
    133,983.66x = 200,680.25 × 74,672.22
  4. Step 4: Simplify right side
    133,983.66x = 14,985,239,404.29
  5. Step 5: Solve for x
    x = 14,985,239,404.29/133,983.66
  6. Step 6: Final answer
    x = 111,843.78

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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.