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Finding the Fourth Proportional to 226,270.62, 339,406.74 and 76,512.15

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Solution

The fourth proportional to 226,270.62, 339,406.74 and 76,512.15 is: 114,768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,270.62 : 339,406.74 = 76,512.15 : x
  2. Step 2: Convert to fraction form
    226,270.62/339,406.74 = 76,512.15/x
  3. Step 3: Cross multiply
    226,270.62x = 339,406.74 × 76,512.15
  4. Step 4: Simplify right side
    226,270.62x = 25,968,739,401.89
  5. Step 5: Solve for x
    x = 25,968,739,401.89/226,270.62
  6. Step 6: Final answer
    x = 114,768.50

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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.