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Finding the Fourth Proportional to 223,834.10, 335,540.10 and 111,408.04

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Solution

The fourth proportional to 223,834.10, 335,540.10 and 111,408.04 is: 167,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,834.10 : 335,540.10 = 111,408.04 : x
  2. Step 2: Convert to fraction form
    223,834.10/335,540.10 = 111,408.04/x
  3. Step 3: Cross multiply
    223,834.10x = 335,540.10 × 111,408.04
  4. Step 4: Simplify right side
    223,834.10x = 37,381,864,043.55
  5. Step 5: Solve for x
    x = 37,381,864,043.55/223,834.10
  6. Step 6: Final answer
    x = 167,007.01

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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.