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Finding the Fourth Proportional to 146,559.20, 202,252.56 and 82,893.20

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Solution

The fourth proportional to 146,559.20, 202,252.56 and 82,893.20 is: 114,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,559.20 : 202,252.56 = 82,893.20 : x
  2. Step 2: Convert to fraction form
    146,559.20/202,252.56 = 82,893.20/x
  3. Step 3: Cross multiply
    146,559.20x = 202,252.56 × 82,893.20
  4. Step 4: Simplify right side
    146,559.20x = 16,765,361,906.59
  5. Step 5: Solve for x
    x = 16,765,361,906.59/146,559.20
  6. Step 6: Final answer
    x = 114,393.10

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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.