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Finding the Fourth Proportional to 129,466.76, 194,321.10 and 67,181

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Solution

The fourth proportional to 129,466.76, 194,321.10 and 67,181 is: 100,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,466.76 : 194,321.10 = 67,181 : x
  2. Step 2: Convert to fraction form
    129,466.76/194,321.10 = 67,181/x
  3. Step 3: Cross multiply
    129,466.76x = 194,321.10 × 67,181
  4. Step 4: Simplify right side
    129,466.76x = 13,054,685,819.10
  5. Step 5: Solve for x
    x = 13,054,685,819.10/129,466.76
  6. Step 6: Final answer
    x = 100,834.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.