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Finding the Fourth Proportional to 217,843.94, 326,766.16 and 68,085.01

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Solution

The fourth proportional to 217,843.94, 326,766.16 and 68,085.01 is: 102,127.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,843.94 : 326,766.16 = 68,085.01 : x
  2. Step 2: Convert to fraction form
    217,843.94/326,766.16 = 68,085.01/x
  3. Step 3: Cross multiply
    217,843.94x = 326,766.16 × 68,085.01
  4. Step 4: Simplify right side
    217,843.94x = 22,247,875,297.01
  5. Step 5: Solve for x
    x = 22,247,875,297.01/217,843.94
  6. Step 6: Final answer
    x = 102,127.59

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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.