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Finding the Fourth Proportional to 267,828.75, 401,855.78 and 166,711.34

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Solution

The fourth proportional to 267,828.75, 401,855.78 and 166,711.34 is: 250,137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,828.75 : 401,855.78 = 166,711.34 : x
  2. Step 2: Convert to fraction form
    267,828.75/401,855.78 = 166,711.34/x
  3. Step 3: Cross multiply
    267,828.75x = 401,855.78 × 166,711.34
  4. Step 4: Simplify right side
    267,828.75x = 66,993,912,727.71
  5. Step 5: Solve for x
    x = 66,993,912,727.71/267,828.75
  6. Step 6: Final answer
    x = 250,137.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.