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Finding the Fourth Proportional to 194,187.92, 291,395.16 and 81,861.32

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Solution

The fourth proportional to 194,187.92, 291,395.16 and 81,861.32 is: 122,839.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,187.92 : 291,395.16 = 81,861.32 : x
  2. Step 2: Convert to fraction form
    194,187.92/291,395.16 = 81,861.32/x
  3. Step 3: Cross multiply
    194,187.92x = 291,395.16 × 81,861.32
  4. Step 4: Simplify right side
    194,187.92x = 23,853,992,439.21
  5. Step 5: Solve for x
    x = 23,853,992,439.21/194,187.92
  6. Step 6: Final answer
    x = 122,839.73

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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.