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Finding the Fourth Proportional to 146,138.10, 201,666.50 and 82,481.82

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Solution

The fourth proportional to 146,138.10, 201,666.50 and 82,481.82 is: 113,822.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,138.10 : 201,666.50 = 82,481.82 : x
  2. Step 2: Convert to fraction form
    146,138.10/201,666.50 = 82,481.82/x
  3. Step 3: Cross multiply
    146,138.10x = 201,666.50 × 82,481.82
  4. Step 4: Simplify right side
    146,138.10x = 16,633,819,953.03
  5. Step 5: Solve for x
    x = 16,633,819,953.03/146,138.10
  6. Step 6: Final answer
    x = 113,822.61

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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.