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Finding the Fourth Proportional to 202,853.44, 303,919.30 and 172,968.08

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Solution

The fourth proportional to 202,853.44, 303,919.30 and 172,968.08 is: 259,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,853.44 : 303,919.30 = 172,968.08 : x
  2. Step 2: Convert to fraction form
    202,853.44/303,919.30 = 172,968.08/x
  3. Step 3: Cross multiply
    202,853.44x = 303,919.30 × 172,968.08
  4. Step 4: Simplify right side
    202,853.44x = 52,568,338,123.32
  5. Step 5: Solve for x
    x = 52,568,338,123.32/202,853.44
  6. Step 6: Final answer
    x = 259,144.43

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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.