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Finding the Fourth Proportional to 226,781.46, 340,382.37 and 114,540.50

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Solution

The fourth proportional to 226,781.46, 340,382.37 and 114,540.50 is: 171,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,781.46 : 340,382.37 = 114,540.50 : x
  2. Step 2: Convert to fraction form
    226,781.46/340,382.37 = 114,540.50/x
  3. Step 3: Cross multiply
    226,781.46x = 340,382.37 × 114,540.50
  4. Step 4: Simplify right side
    226,781.46x = 38,987,566,850.99
  5. Step 5: Solve for x
    x = 38,987,566,850.99/226,781.46
  6. Step 6: Final answer
    x = 171,916.91

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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.