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Finding the Fourth Proportional to 129,906.69, 194,865.50 and 41,158.23

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Solution

The fourth proportional to 129,906.69, 194,865.50 and 41,158.23 is: 61,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,906.69 : 194,865.50 = 41,158.23 : x
  2. Step 2: Convert to fraction form
    129,906.69/194,865.50 = 41,158.23/x
  3. Step 3: Cross multiply
    129,906.69x = 194,865.50 × 41,158.23
  4. Step 4: Simplify right side
    129,906.69x = 8,020,318,862.27
  5. Step 5: Solve for x
    x = 8,020,318,862.27/129,906.69
  6. Step 6: Final answer
    x = 61,739.07

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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.