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Finding the Fourth Proportional to 194,503.33, 291,794.30 and 82,183.87

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Solution

The fourth proportional to 194,503.33, 291,794.30 and 82,183.87 is: 123,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,503.33 : 291,794.30 = 82,183.87 : x
  2. Step 2: Convert to fraction form
    194,503.33/291,794.30 = 82,183.87/x
  3. Step 3: Cross multiply
    194,503.33x = 291,794.30 × 82,183.87
  4. Step 4: Simplify right side
    194,503.33x = 23,980,782,948.05
  5. Step 5: Solve for x
    x = 23,980,782,948.05/194,503.33
  6. Step 6: Final answer
    x = 123,292.41

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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.