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Finding the Fourth Proportional to 129,861.72, 194,809.02 and 41,083.14

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Solution

The fourth proportional to 129,861.72, 194,809.02 and 41,083.14 is: 61,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,861.72 : 194,809.02 = 41,083.14 : x
  2. Step 2: Convert to fraction form
    129,861.72/194,809.02 = 41,083.14/x
  3. Step 3: Cross multiply
    129,861.72x = 194,809.02 × 41,083.14
  4. Step 4: Simplify right side
    129,861.72x = 8,003,366,241.92
  5. Step 5: Solve for x
    x = 8,003,366,241.92/129,861.72
  6. Step 6: Final answer
    x = 61,629.91

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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.