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Finding the Fourth Proportional to 146,590.97, 202,278.47 and 82,063.73

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Solution

The fourth proportional to 146,590.97, 202,278.47 and 82,063.73 is: 113,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,590.97 : 202,278.47 = 82,063.73 : x
  2. Step 2: Convert to fraction form
    146,590.97/202,278.47 = 82,063.73/x
  3. Step 3: Cross multiply
    146,590.97x = 202,278.47 × 82,063.73
  4. Step 4: Simplify right side
    146,590.97x = 16,599,725,842.27
  5. Step 5: Solve for x
    x = 16,599,725,842.27/146,590.97
  6. Step 6: Final answer
    x = 113,238.40

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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.