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Finding the Fourth Proportional to 106,216.30, 146,583.75 and 58,469.14

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Solution

The fourth proportional to 106,216.30, 146,583.75 and 58,469.14 is: 80,690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,216.30 : 146,583.75 = 58,469.14 : x
  2. Step 2: Convert to fraction form
    106,216.30/146,583.75 = 58,469.14/x
  3. Step 3: Cross multiply
    106,216.30x = 146,583.75 × 58,469.14
  4. Step 4: Simplify right side
    106,216.30x = 8,570,625,653.27
  5. Step 5: Solve for x
    x = 8,570,625,653.27/106,216.30
  6. Step 6: Final answer
    x = 80,690.31

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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.