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Finding the Fourth Proportional to 146,454.89, 202,071.51 and 82,791.32

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Solution

The fourth proportional to 146,454.89, 202,071.51 and 82,791.32 is: 114,231.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,454.89 : 202,071.51 = 82,791.32 : x
  2. Step 2: Convert to fraction form
    146,454.89/202,071.51 = 82,791.32/x
  3. Step 3: Cross multiply
    146,454.89x = 202,071.51 × 82,791.32
  4. Step 4: Simplify right side
    146,454.89x = 16,729,766,036.94
  5. Step 5: Solve for x
    x = 16,729,766,036.94/146,454.89
  6. Step 6: Final answer
    x = 114,231.53

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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.