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Finding the Fourth Proportional to 129,912.68, 194,874.50 and 41,164.22

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Solution

The fourth proportional to 129,912.68, 194,874.50 and 41,164.22 is: 61,748.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,912.68 : 194,874.50 = 41,164.22 : x
  2. Step 2: Convert to fraction form
    129,912.68/194,874.50 = 41,164.22/x
  3. Step 3: Cross multiply
    129,912.68x = 194,874.50 × 41,164.22
  4. Step 4: Simplify right side
    129,912.68x = 8,021,857,380.49
  5. Step 5: Solve for x
    x = 8,021,857,380.49/129,912.68
  6. Step 6: Final answer
    x = 61,748.07

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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.