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Finding the Fourth Proportional to 299,982.38, 413,976.42 and 164,025.11

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Solution

The fourth proportional to 299,982.38, 413,976.42 and 164,025.11 is: 226,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,982.38 : 413,976.42 = 164,025.11 : x
  2. Step 2: Convert to fraction form
    299,982.38/413,976.42 = 164,025.11/x
  3. Step 3: Cross multiply
    299,982.38x = 413,976.42 × 164,025.11
  4. Step 4: Simplify right side
    299,982.38x = 67,902,525,758.02
  5. Step 5: Solve for x
    x = 67,902,525,758.02/299,982.38
  6. Step 6: Final answer
    x = 226,355.05

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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.