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Finding the Fourth Proportional to 194,418.90, 291,659.76 and 82,116

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Solution

The fourth proportional to 194,418.90, 291,659.76 and 82,116 is: 123,187.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,418.90 : 291,659.76 = 82,116 : x
  2. Step 2: Convert to fraction form
    194,418.90/291,659.76 = 82,116/x
  3. Step 3: Cross multiply
    194,418.90x = 291,659.76 × 82,116
  4. Step 4: Simplify right side
    194,418.90x = 23,949,932,852.16
  5. Step 5: Solve for x
    x = 23,949,932,852.16/194,418.90
  6. Step 6: Final answer
    x = 123,187.27

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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.