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Finding the Fourth Proportional to 129,861.98, 194,798.52 and 50,993.30

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Solution

The fourth proportional to 129,861.98, 194,798.52 and 50,993.30 is: 76,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,861.98 : 194,798.52 = 50,993.30 : x
  2. Step 2: Convert to fraction form
    129,861.98/194,798.52 = 50,993.30/x
  3. Step 3: Cross multiply
    129,861.98x = 194,798.52 × 50,993.30
  4. Step 4: Simplify right side
    129,861.98x = 9,933,419,369.92
  5. Step 5: Solve for x
    x = 9,933,419,369.92/129,861.98
  6. Step 6: Final answer
    x = 76,492.13

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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.