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Finding the Fourth Proportional to 201,306.28, 301,771.69 and 68,093.85

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Solution

The fourth proportional to 201,306.28, 301,771.69 and 68,093.85 is: 102,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,306.28 : 301,771.69 = 68,093.85 : x
  2. Step 2: Convert to fraction form
    201,306.28/301,771.69 = 68,093.85/x
  3. Step 3: Cross multiply
    201,306.28x = 301,771.69 × 68,093.85
  4. Step 4: Simplify right side
    201,306.28x = 20,548,796,193.11
  5. Step 5: Solve for x
    x = 20,548,796,193.11/201,306.28
  6. Step 6: Final answer
    x = 102,077.27

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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.