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Finding the Fourth Proportional to 146,367.38, 201,997.32 and 82,711.10

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Solution

The fourth proportional to 146,367.38, 201,997.32 and 82,711.10 is: 114,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,367.38 : 201,997.32 = 82,711.10 : x
  2. Step 2: Convert to fraction form
    146,367.38/201,997.32 = 82,711.10/x
  3. Step 3: Cross multiply
    146,367.38x = 201,997.32 × 82,711.10
  4. Step 4: Simplify right side
    146,367.38x = 16,707,420,534.25
  5. Step 5: Solve for x
    x = 16,707,420,534.25/146,367.38
  6. Step 6: Final answer
    x = 114,147.16

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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.