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Finding the Fourth Proportional to 279,424.78, 419,137.31 and 92,436.28

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Solution

The fourth proportional to 279,424.78, 419,137.31 and 92,436.28 is: 138,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,424.78 : 419,137.31 = 92,436.28 : x
  2. Step 2: Convert to fraction form
    279,424.78/419,137.31 = 92,436.28/x
  3. Step 3: Cross multiply
    279,424.78x = 419,137.31 × 92,436.28
  4. Step 4: Simplify right side
    279,424.78x = 38,743,493,745.61
  5. Step 5: Solve for x
    x = 38,743,493,745.61/279,424.78
  6. Step 6: Final answer
    x = 138,654.47

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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.