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Finding the Fourth Proportional to 223,834.31, 335,540.41 and 111,408.25

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Solution

The fourth proportional to 223,834.31, 335,540.41 and 111,408.25 is: 167,007.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,834.31 : 335,540.41 = 111,408.25 : x
  2. Step 2: Convert to fraction form
    223,834.31/335,540.41 = 111,408.25/x
  3. Step 3: Cross multiply
    223,834.31x = 335,540.41 × 111,408.25
  4. Step 4: Simplify right side
    223,834.31x = 37,381,967,647.64
  5. Step 5: Solve for x
    x = 37,381,967,647.64/223,834.31
  6. Step 6: Final answer
    x = 167,007.32

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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.