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Finding the Fourth Proportional to 146,201.91, 201,747.38 and 82,545.99

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Solution

The fourth proportional to 146,201.91, 201,747.38 and 82,545.99 is: 113,907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,201.91 : 201,747.38 = 82,545.99 : x
  2. Step 2: Convert to fraction form
    146,201.91/201,747.38 = 82,545.99/x
  3. Step 3: Cross multiply
    146,201.91x = 201,747.38 × 82,545.99
  4. Step 4: Simplify right side
    146,201.91x = 16,653,436,799.28
  5. Step 5: Solve for x
    x = 16,653,436,799.28/146,201.91
  6. Step 6: Final answer
    x = 113,907.11

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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.