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Finding the Fourth Proportional to 105,951.87, 146,216.25 and 58,209.66

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Solution

The fourth proportional to 105,951.87, 146,216.25 and 58,209.66 is: 80,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,951.87 : 146,216.25 = 58,209.66 : x
  2. Step 2: Convert to fraction form
    105,951.87/146,216.25 = 58,209.66/x
  3. Step 3: Cross multiply
    105,951.87x = 146,216.25 × 58,209.66
  4. Step 4: Simplify right side
    105,951.87x = 8,511,198,198.98
  5. Step 5: Solve for x
    x = 8,511,198,198.98/105,951.87
  6. Step 6: Final answer
    x = 80,330.80

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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.