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Finding the Fourth Proportional to 267,141.78, 400,712.94 and 67,464.36

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Solution

The fourth proportional to 267,141.78, 400,712.94 and 67,464.36 is: 101,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,141.78 : 400,712.94 = 67,464.36 : x
  2. Step 2: Convert to fraction form
    267,141.78/400,712.94 = 67,464.36/x
  3. Step 3: Cross multiply
    267,141.78x = 400,712.94 × 67,464.36
  4. Step 4: Simplify right side
    267,141.78x = 27,033,842,040.82
  5. Step 5: Solve for x
    x = 27,033,842,040.82/267,141.78
  6. Step 6: Final answer
    x = 101,196.61

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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.