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Finding the Fourth Proportional to 199,861.70, 275,680.13 and 119,227.01

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Solution

The fourth proportional to 199,861.70, 275,680.13 and 119,227.01 is: 164,456.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,861.70 : 275,680.13 = 119,227.01 : x
  2. Step 2: Convert to fraction form
    199,861.70/275,680.13 = 119,227.01/x
  3. Step 3: Cross multiply
    199,861.70x = 275,680.13 × 119,227.01
  4. Step 4: Simplify right side
    199,861.70x = 32,868,515,641.78
  5. Step 5: Solve for x
    x = 32,868,515,641.78/199,861.70
  6. Step 6: Final answer
    x = 164,456.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.