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Finding the Fourth Proportional to 146,609.10, 202,299.04 and 82,074.98

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Solution

The fourth proportional to 146,609.10, 202,299.04 and 82,074.98 is: 113,251.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,609.10 : 202,299.04 = 82,074.98 : x
  2. Step 2: Convert to fraction form
    146,609.10/202,299.04 = 82,074.98/x
  3. Step 3: Cross multiply
    146,609.10x = 202,299.04 × 82,074.98
  4. Step 4: Simplify right side
    146,609.10x = 16,603,689,662.02
  5. Step 5: Solve for x
    x = 16,603,689,662.02/146,609.10
  6. Step 6: Final answer
    x = 113,251.43

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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.