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Finding the Fourth Proportional to 201,917.62, 303,016.97 and 83,589.58

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Solution

The fourth proportional to 201,917.62, 303,016.97 and 83,589.58 is: 125,442.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,917.62 : 303,016.97 = 83,589.58 : x
  2. Step 2: Convert to fraction form
    201,917.62/303,016.97 = 83,589.58/x
  3. Step 3: Cross multiply
    201,917.62x = 303,016.97 × 83,589.58
  4. Step 4: Simplify right side
    201,917.62x = 25,329,061,255.17
  5. Step 5: Solve for x
    x = 25,329,061,255.17/201,917.62
  6. Step 6: Final answer
    x = 125,442.55

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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.