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Finding the Fourth Proportional to 226,253.12, 339,384 and 68,480.96

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Solution

The fourth proportional to 226,253.12, 339,384 and 68,480.96 is: 102,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,253.12 : 339,384 = 68,480.96 : x
  2. Step 2: Convert to fraction form
    226,253.12/339,384 = 68,480.96/x
  3. Step 3: Cross multiply
    226,253.12x = 339,384 × 68,480.96
  4. Step 4: Simplify right side
    226,253.12x = 23,241,342,128.64
  5. Step 5: Solve for x
    x = 23,241,342,128.64/226,253.12
  6. Step 6: Final answer
    x = 102,722.75

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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.