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Finding the Fourth Proportional to 201,194.46, 301,768.11 and 68,074.32

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Solution

The fourth proportional to 201,194.46, 301,768.11 and 68,074.32 is: 102,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,194.46 : 301,768.11 = 68,074.32 : x
  2. Step 2: Convert to fraction form
    201,194.46/301,768.11 = 68,074.32/x
  3. Step 3: Cross multiply
    201,194.46x = 301,768.11 × 68,074.32
  4. Step 4: Simplify right side
    201,194.46x = 20,542,658,885.94
  5. Step 5: Solve for x
    x = 20,542,658,885.94/201,194.46
  6. Step 6: Final answer
    x = 102,103.50

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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.