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Finding the Fourth Proportional to 226,997.88, 340,299.54 and 114,584.46

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Solution

The fourth proportional to 226,997.88, 340,299.54 and 114,584.46 is: 171,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,997.88 : 340,299.54 = 114,584.46 : x
  2. Step 2: Convert to fraction form
    226,997.88/340,299.54 = 114,584.46/x
  3. Step 3: Cross multiply
    226,997.88x = 340,299.54 × 114,584.46
  4. Step 4: Simplify right side
    226,997.88x = 38,993,039,029.15
  5. Step 5: Solve for x
    x = 38,993,039,029.15/226,997.88
  6. Step 6: Final answer
    x = 171,777.11

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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.