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Finding the Fourth Proportional to 194,201.24, 291,231.36 and 67,806

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Solution

The fourth proportional to 194,201.24, 291,231.36 and 67,806 is: 101,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,201.24 : 291,231.36 = 67,806 : x
  2. Step 2: Convert to fraction form
    194,201.24/291,231.36 = 67,806/x
  3. Step 3: Cross multiply
    194,201.24x = 291,231.36 × 67,806
  4. Step 4: Simplify right side
    194,201.24x = 19,747,233,596.16
  5. Step 5: Solve for x
    x = 19,747,233,596.16/194,201.24
  6. Step 6: Final answer
    x = 101,684.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.