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Finding the Fourth Proportional to 267,694.50, 401,578.81 and 90,252.26

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Solution

The fourth proportional to 267,694.50, 401,578.81 and 90,252.26 is: 135,390.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,694.50 : 401,578.81 = 90,252.26 : x
  2. Step 2: Convert to fraction form
    267,694.50/401,578.81 = 90,252.26/x
  3. Step 3: Cross multiply
    267,694.50x = 401,578.81 × 90,252.26
  4. Step 4: Simplify right side
    267,694.50x = 36,243,392,711.46
  5. Step 5: Solve for x
    x = 36,243,392,711.46/267,694.50
  6. Step 6: Final answer
    x = 135,390.88

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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.