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Finding the Fourth Proportional to 226,532.72, 339,797.55 and 76,878.37

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Solution

The fourth proportional to 226,532.72, 339,797.55 and 76,878.37 is: 115,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,532.72 : 339,797.55 = 76,878.37 : x
  2. Step 2: Convert to fraction form
    226,532.72/339,797.55 = 76,878.37/x
  3. Step 3: Cross multiply
    226,532.72x = 339,797.55 × 76,878.37
  4. Step 4: Simplify right side
    226,532.72x = 26,123,080,143.23
  5. Step 5: Solve for x
    x = 26,123,080,143.23/226,532.72
  6. Step 6: Final answer
    x = 115,317.03

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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.