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Finding the Fourth Proportional to 168,198, 252,297 and 115,447.56

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Solution

The fourth proportional to 168,198, 252,297 and 115,447.56 is: 173,171.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,198 : 252,297 = 115,447.56 : x
  2. Step 2: Convert to fraction form
    168,198/252,297 = 115,447.56/x
  3. Step 3: Cross multiply
    168,198x = 252,297 × 115,447.56
  4. Step 4: Simplify right side
    168,198x = 29,127,073,045.32
  5. Step 5: Solve for x
    x = 29,127,073,045.32/168,198
  6. Step 6: Final answer
    x = 173,171.34

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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.