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Finding the Fourth Proportional to 201,627.82, 302,238.42 and 126,801.44

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Solution

The fourth proportional to 201,627.82, 302,238.42 and 126,801.44 is: 190,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,627.82 : 302,238.42 = 126,801.44 : x
  2. Step 2: Convert to fraction form
    201,627.82/302,238.42 = 126,801.44/x
  3. Step 3: Cross multiply
    201,627.82x = 302,238.42 × 126,801.44
  4. Step 4: Simplify right side
    201,627.82x = 38,324,266,879.32
  5. Step 5: Solve for x
    x = 38,324,266,879.32/201,627.82
  6. Step 6: Final answer
    x = 190,074.30

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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.