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Finding the Fourth Proportional to 199,874.52, 275,827.55 and 109,231.88

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Solution

The fourth proportional to 199,874.52, 275,827.55 and 109,231.88 is: 150,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,874.52 : 275,827.55 = 109,231.88 : x
  2. Step 2: Convert to fraction form
    199,874.52/275,827.55 = 109,231.88/x
  3. Step 3: Cross multiply
    199,874.52x = 275,827.55 × 109,231.88
  4. Step 4: Simplify right side
    199,874.52x = 30,129,159,917.00
  5. Step 5: Solve for x
    x = 30,129,159,917.00/199,874.52
  6. Step 6: Final answer
    x = 150,740.37

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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.