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Finding the Fourth Proportional to 146,182.96, 201,738.28 and 82,522.96

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Solution

The fourth proportional to 146,182.96, 201,738.28 and 82,522.96 is: 113,884.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,182.96 : 201,738.28 = 82,522.96 : x
  2. Step 2: Convert to fraction form
    146,182.96/201,738.28 = 82,522.96/x
  3. Step 3: Cross multiply
    146,182.96x = 201,738.28 × 82,522.96
  4. Step 4: Simplify right side
    146,182.96x = 16,648,040,010.91
  5. Step 5: Solve for x
    x = 16,648,040,010.91/146,182.96
  6. Step 6: Final answer
    x = 113,884.96

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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.