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Finding the Fourth Proportional to 226,039, 339,050.32 and 68,263.44

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Solution

The fourth proportional to 226,039, 339,050.32 and 68,263.44 is: 102,392.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,039 : 339,050.32 = 68,263.44 : x
  2. Step 2: Convert to fraction form
    226,039/339,050.32 = 68,263.44/x
  3. Step 3: Cross multiply
    226,039x = 339,050.32 × 68,263.44
  4. Step 4: Simplify right side
    226,039x = 23,144,741,176.30
  5. Step 5: Solve for x
    x = 23,144,741,176.30/226,039
  6. Step 6: Final answer
    x = 102,392.69

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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.