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Finding the Fourth Proportional to 194,716.70, 291,856.35 and 82,377.80

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Solution

The fourth proportional to 194,716.70, 291,856.35 and 82,377.80 is: 123,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,716.70 : 291,856.35 = 82,377.80 : x
  2. Step 2: Convert to fraction form
    194,716.70/291,856.35 = 82,377.80/x
  3. Step 3: Cross multiply
    194,716.70x = 291,856.35 × 82,377.80
  4. Step 4: Simplify right side
    194,716.70x = 24,042,484,029.03
  5. Step 5: Solve for x
    x = 24,042,484,029.03/194,716.70
  6. Step 6: Final answer
    x = 123,474.18

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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.