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Finding the Fourth Proportional to 226,152, 339,228 and 68,376.96

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Solution

The fourth proportional to 226,152, 339,228 and 68,376.96 is: 102,565.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,152 : 339,228 = 68,376.96 : x
  2. Step 2: Convert to fraction form
    226,152/339,228 = 68,376.96/x
  3. Step 3: Cross multiply
    226,152x = 339,228 × 68,376.96
  4. Step 4: Simplify right side
    226,152x = 23,195,379,386.88
  5. Step 5: Solve for x
    x = 23,195,379,386.88/226,152
  6. Step 6: Final answer
    x = 102,565.44

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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.