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Finding the Fourth Proportional to 146,479.92, 202,147.74 and 82,813.92

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Solution

The fourth proportional to 146,479.92, 202,147.74 and 82,813.92 is: 114,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,479.92 : 202,147.74 = 82,813.92 : x
  2. Step 2: Convert to fraction form
    146,479.92/202,147.74 = 82,813.92/x
  3. Step 3: Cross multiply
    146,479.92x = 202,147.74 × 82,813.92
  4. Step 4: Simplify right side
    146,479.92x = 16,740,646,768.54
  5. Step 5: Solve for x
    x = 16,740,646,768.54/146,479.92
  6. Step 6: Final answer
    x = 114,286.29

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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.