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Finding the Fourth Proportional to 276,033.80, 413,428.62 and 164,992.52

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Solution

The fourth proportional to 276,033.80, 413,428.62 and 164,992.52 is: 247,116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,033.80 : 413,428.62 = 164,992.52 : x
  2. Step 2: Convert to fraction form
    276,033.80/413,428.62 = 164,992.52/x
  3. Step 3: Cross multiply
    276,033.80x = 413,428.62 × 164,992.52
  4. Step 4: Simplify right side
    276,033.80x = 68,212,629,853.92
  5. Step 5: Solve for x
    x = 68,212,629,853.92/276,033.80
  6. Step 6: Final answer
    x = 247,116.95

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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.