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Finding the Fourth Proportional to 199,821.52, 275,755.62 and 109,174.96

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Solution

The fourth proportional to 199,821.52, 275,755.62 and 109,174.96 is: 150,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,821.52 : 275,755.62 = 109,174.96 : x
  2. Step 2: Convert to fraction form
    199,821.52/275,755.62 = 109,174.96/x
  3. Step 3: Cross multiply
    199,821.52x = 275,755.62 × 109,174.96
  4. Step 4: Simplify right side
    199,821.52x = 30,105,608,783.28
  5. Step 5: Solve for x
    x = 30,105,608,783.28/199,821.52
  6. Step 6: Final answer
    x = 150,662.50

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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.