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Finding the Fourth Proportional to 146,537.28, 202,232.31 and 82,012.98

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Solution

The fourth proportional to 146,537.28, 202,232.31 and 82,012.98 is: 113,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,537.28 : 202,232.31 = 82,012.98 : x
  2. Step 2: Convert to fraction form
    146,537.28/202,232.31 = 82,012.98/x
  3. Step 3: Cross multiply
    146,537.28x = 202,232.31 × 82,012.98
  4. Step 4: Simplify right side
    146,537.28x = 16,585,674,395.38
  5. Step 5: Solve for x
    x = 16,585,674,395.38/146,537.28
  6. Step 6: Final answer
    x = 113,183.99

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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.