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Finding the Fourth Proportional to 295,107.56, 407,249.72 and 160,974.44

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Solution

The fourth proportional to 295,107.56, 407,249.72 and 160,974.44 is: 222,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,107.56 : 407,249.72 = 160,974.44 : x
  2. Step 2: Convert to fraction form
    295,107.56/407,249.72 = 160,974.44/x
  3. Step 3: Cross multiply
    295,107.56x = 407,249.72 × 160,974.44
  4. Step 4: Simplify right side
    295,107.56x = 65,556,795,617.16
  5. Step 5: Solve for x
    x = 65,556,795,617.16/295,107.56
  6. Step 6: Final answer
    x = 222,145.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.