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Finding the Fourth Proportional to 201,797.36, 302,654.75 and 75,414.27

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Solution

The fourth proportional to 201,797.36, 302,654.75 and 75,414.27 is: 113,105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,797.36 : 302,654.75 = 75,414.27 : x
  2. Step 2: Convert to fraction form
    201,797.36/302,654.75 = 75,414.27/x
  3. Step 3: Cross multiply
    201,797.36x = 302,654.75 × 75,414.27
  4. Step 4: Simplify right side
    201,797.36x = 22,824,487,033.28
  5. Step 5: Solve for x
    x = 22,824,487,033.28/201,797.36
  6. Step 6: Final answer
    x = 113,105.98

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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.