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Finding the Fourth Proportional to 194,260.50, 268,086.81 and 107,049.30

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Solution

The fourth proportional to 194,260.50, 268,086.81 and 107,049.30 is: 147,732.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,260.50 : 268,086.81 = 107,049.30 : x
  2. Step 2: Convert to fraction form
    194,260.50/268,086.81 = 107,049.30/x
  3. Step 3: Cross multiply
    194,260.50x = 268,086.81 × 107,049.30
  4. Step 4: Simplify right side
    194,260.50x = 28,698,505,349.73
  5. Step 5: Solve for x
    x = 28,698,505,349.73/194,260.50
  6. Step 6: Final answer
    x = 147,732.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.