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Finding the Fourth Proportional to 199,711.44, 275,487.48 and 142,363.44

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Solution

The fourth proportional to 199,711.44, 275,487.48 and 142,363.44 is: 196,380.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,711.44 : 275,487.48 = 142,363.44 : x
  2. Step 2: Convert to fraction form
    199,711.44/275,487.48 = 142,363.44/x
  3. Step 3: Cross multiply
    199,711.44x = 275,487.48 × 142,363.44
  4. Step 4: Simplify right side
    199,711.44x = 39,219,345,329.73
  5. Step 5: Solve for x
    x = 39,219,345,329.73/199,711.44
  6. Step 6: Final answer
    x = 196,380.06

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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.