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Finding the Fourth Proportional to 267,644.38, 401,467.32 and 90,275.98

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Solution

The fourth proportional to 267,644.38, 401,467.32 and 90,275.98 is: 135,414.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,644.38 : 401,467.32 = 90,275.98 : x
  2. Step 2: Convert to fraction form
    267,644.38/401,467.32 = 90,275.98/x
  3. Step 3: Cross multiply
    267,644.38x = 401,467.32 × 90,275.98
  4. Step 4: Simplify right side
    267,644.38x = 36,242,855,750.97
  5. Step 5: Solve for x
    x = 36,242,855,750.97/267,644.38
  6. Step 6: Final answer
    x = 135,414.22

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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.