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Finding the Fourth Proportional to 146,634.81, 202,350.44 and 82,098

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Solution

The fourth proportional to 146,634.81, 202,350.44 and 82,098 is: 113,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,634.81 : 202,350.44 = 82,098 : x
  2. Step 2: Convert to fraction form
    146,634.81/202,350.44 = 82,098/x
  3. Step 3: Cross multiply
    146,634.81x = 202,350.44 × 82,098
  4. Step 4: Simplify right side
    146,634.81x = 16,612,566,012.63
  5. Step 5: Solve for x
    x = 16,612,566,012.63/146,634.81
  6. Step 6: Final answer
    x = 113,292.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.