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Finding the Fourth Proportional to 226,212, 339,317.75 and 57,732.32

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Solution

The fourth proportional to 226,212, 339,317.75 and 57,732.32 is: 86,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,212 : 339,317.75 = 57,732.32 : x
  2. Step 2: Convert to fraction form
    226,212/339,317.75 = 57,732.32/x
  3. Step 3: Cross multiply
    226,212x = 339,317.75 × 57,732.32
  4. Step 4: Simplify right side
    226,212x = 19,589,598,939.43
  5. Step 5: Solve for x
    x = 19,589,598,939.43/226,212
  6. Step 6: Final answer
    x = 86,598.41

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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.