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Finding the Fourth Proportional to 194,472, 291,795.84 and 111,366

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Solution

The fourth proportional to 194,472, 291,795.84 and 111,366 is: 167,099.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,472 : 291,795.84 = 111,366 : x
  2. Step 2: Convert to fraction form
    194,472/291,795.84 = 111,366/x
  3. Step 3: Cross multiply
    194,472x = 291,795.84 × 111,366
  4. Step 4: Simplify right side
    194,472x = 32,496,135,517.44
  5. Step 5: Solve for x
    x = 32,496,135,517.44/194,472
  6. Step 6: Final answer
    x = 167,099.30

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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.