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Finding the Fourth Proportional to 231,409.26, 347,166 and 81,660.24

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Solution

The fourth proportional to 231,409.26, 347,166 and 81,660.24 is: 122,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,409.26 : 347,166 = 81,660.24 : x
  2. Step 2: Convert to fraction form
    231,409.26/347,166 = 81,660.24/x
  3. Step 3: Cross multiply
    231,409.26x = 347,166 × 81,660.24
  4. Step 4: Simplify right side
    231,409.26x = 28,349,658,879.84
  5. Step 5: Solve for x
    x = 28,349,658,879.84/231,409.26
  6. Step 6: Final answer
    x = 122,508.75

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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.