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Finding the Fourth Proportional to 201,882.26, 302,963.25 and 80,290.34

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Solution

The fourth proportional to 201,882.26, 302,963.25 and 80,290.34 is: 120,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.26 : 302,963.25 = 80,290.34 : x
  2. Step 2: Convert to fraction form
    201,882.26/302,963.25 = 80,290.34/x
  3. Step 3: Cross multiply
    201,882.26x = 302,963.25 × 80,290.34
  4. Step 4: Simplify right side
    201,882.26x = 24,325,023,107.41
  5. Step 5: Solve for x
    x = 24,325,023,107.41/201,882.26
  6. Step 6: Final answer
    x = 120,491.14

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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.