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Finding the Fourth Proportional to 194,393.66, 290,932.09 and 119,561.20

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Solution

The fourth proportional to 194,393.66, 290,932.09 and 119,561.20 is: 178,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,393.66 : 290,932.09 = 119,561.20 : x
  2. Step 2: Convert to fraction form
    194,393.66/290,932.09 = 119,561.20/x
  3. Step 3: Cross multiply
    194,393.66x = 290,932.09 × 119,561.20
  4. Step 4: Simplify right side
    194,393.66x = 34,784,188,772.67
  5. Step 5: Solve for x
    x = 34,784,188,772.67/194,393.66
  6. Step 6: Final answer
    x = 178,936.85

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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.