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Finding the Fourth Proportional to 133,843.64, 200,517.19 and 95,814.41

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Solution

The fourth proportional to 133,843.64, 200,517.19 and 95,814.41 is: 143,543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,843.64 : 200,517.19 = 95,814.41 : x
  2. Step 2: Convert to fraction form
    133,843.64/200,517.19 = 95,814.41/x
  3. Step 3: Cross multiply
    133,843.64x = 200,517.19 × 95,814.41
  4. Step 4: Simplify right side
    133,843.64x = 19,212,435,012.59
  5. Step 5: Solve for x
    x = 19,212,435,012.59/133,843.64
  6. Step 6: Final answer
    x = 143,543.88

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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.