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Finding the Fourth Proportional to 133,769.72, 200,675.31 and 45,016.30

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Solution

The fourth proportional to 133,769.72, 200,675.31 and 45,016.30 is: 67,531.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,769.72 : 200,675.31 = 45,016.30 : x
  2. Step 2: Convert to fraction form
    133,769.72/200,675.31 = 45,016.30/x
  3. Step 3: Cross multiply
    133,769.72x = 200,675.31 × 45,016.30
  4. Step 4: Simplify right side
    133,769.72x = 9,033,660,039.59
  5. Step 5: Solve for x
    x = 9,033,660,039.59/133,769.72
  6. Step 6: Final answer
    x = 67,531.43

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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.