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Finding the Fourth Proportional to 106,393.80, 146,821.38 and 57,996.18

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Solution

The fourth proportional to 106,393.80, 146,821.38 and 57,996.18 is: 80,033.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.80 : 146,821.38 = 57,996.18 : x
  2. Step 2: Convert to fraction form
    106,393.80/146,821.38 = 57,996.18/x
  3. Step 3: Cross multiply
    106,393.80x = 146,821.38 × 57,996.18
  4. Step 4: Simplify right side
    106,393.80x = 8,515,079,182.33
  5. Step 5: Solve for x
    x = 8,515,079,182.33/106,393.80
  6. Step 6: Final answer
    x = 80,033.60

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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.