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Finding the Fourth Proportional to 146,170.96, 201,754.92 and 82,546

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Solution

The fourth proportional to 146,170.96, 201,754.92 and 82,546 is: 113,935.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,170.96 : 201,754.92 = 82,546 : x
  2. Step 2: Convert to fraction form
    146,170.96/201,754.92 = 82,546/x
  3. Step 3: Cross multiply
    146,170.96x = 201,754.92 × 82,546
  4. Step 4: Simplify right side
    146,170.96x = 16,654,061,626.32
  5. Step 5: Solve for x
    x = 16,654,061,626.32/146,170.96
  6. Step 6: Final answer
    x = 113,935.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.