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Finding the Fourth Proportional to 226,004.87, 339,007.31 and 176,122.31

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Solution

The fourth proportional to 226,004.87, 339,007.31 and 176,122.31 is: 264,183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,004.87 : 339,007.31 = 176,122.31 : x
  2. Step 2: Convert to fraction form
    226,004.87/339,007.31 = 176,122.31/x
  3. Step 3: Cross multiply
    226,004.87x = 339,007.31 × 176,122.31
  4. Step 4: Simplify right side
    226,004.87x = 59,706,747,968.44
  5. Step 5: Solve for x
    x = 59,706,747,968.44/226,004.87
  6. Step 6: Final answer
    x = 264,183.46

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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.