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Finding the Fourth Proportional to 199,892.46, 275,857.94 and 109,246.44

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Solution

The fourth proportional to 199,892.46, 275,857.94 and 109,246.44 is: 150,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,892.46 : 275,857.94 = 109,246.44 : x
  2. Step 2: Convert to fraction form
    199,892.46/275,857.94 = 109,246.44/x
  3. Step 3: Cross multiply
    199,892.46x = 275,857.94 × 109,246.44
  4. Step 4: Simplify right side
    199,892.46x = 30,136,496,511.44
  5. Step 5: Solve for x
    x = 30,136,496,511.44/199,892.46
  6. Step 6: Final answer
    x = 150,763.55

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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.