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Finding the Fourth Proportional to 111,408.93, 167,168.52 and 52,249.14

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Solution

The fourth proportional to 111,408.93, 167,168.52 and 52,249.14 is: 78,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,408.93 : 167,168.52 = 52,249.14 : x
  2. Step 2: Convert to fraction form
    111,408.93/167,168.52 = 52,249.14/x
  3. Step 3: Cross multiply
    111,408.93x = 167,168.52 × 52,249.14
  4. Step 4: Simplify right side
    111,408.93x = 8,734,411,405.07
  5. Step 5: Solve for x
    x = 8,734,411,405.07/111,408.93
  6. Step 6: Final answer
    x = 78,399.56

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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.