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Finding the Fourth Proportional to 226,158, 339,237 and 68,382.96

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Solution

The fourth proportional to 226,158, 339,237 and 68,382.96 is: 102,574.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,158 : 339,237 = 68,382.96 : x
  2. Step 2: Convert to fraction form
    226,158/339,237 = 68,382.96/x
  3. Step 3: Cross multiply
    226,158x = 339,237 × 68,382.96
  4. Step 4: Simplify right side
    226,158x = 23,198,030,201.52
  5. Step 5: Solve for x
    x = 23,198,030,201.52/226,158
  6. Step 6: Final answer
    x = 102,574.44

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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.