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Finding the Fourth Proportional to 202,017.38, 278,584.25 and 171,473.88

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Solution

The fourth proportional to 202,017.38, 278,584.25 and 171,473.88 is: 236,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,017.38 : 278,584.25 = 171,473.88 : x
  2. Step 2: Convert to fraction form
    202,017.38/278,584.25 = 171,473.88/x
  3. Step 3: Cross multiply
    202,017.38x = 278,584.25 × 171,473.88
  4. Step 4: Simplify right side
    202,017.38x = 47,769,920,874.68
  5. Step 5: Solve for x
    x = 47,769,920,874.68/202,017.38
  6. Step 6: Final answer
    x = 236,464.42

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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.