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Finding the Fourth Proportional to 276,067.20, 414,100.80 and 164,092.80

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Solution

The fourth proportional to 276,067.20, 414,100.80 and 164,092.80 is: 246,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,067.20 : 414,100.80 = 164,092.80 : x
  2. Step 2: Convert to fraction form
    276,067.20/414,100.80 = 164,092.80/x
  3. Step 3: Cross multiply
    276,067.20x = 414,100.80 × 164,092.80
  4. Step 4: Simplify right side
    276,067.20x = 67,950,959,754.24
  5. Step 5: Solve for x
    x = 67,950,959,754.24/276,067.20
  6. Step 6: Final answer
    x = 246,139.20

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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.