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Finding the Fourth Proportional to 293,882.85, 405,553.84 and 164,821.30

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Solution

The fourth proportional to 293,882.85, 405,553.84 and 164,821.30 is: 227,450.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,882.85 : 405,553.84 = 164,821.30 : x
  2. Step 2: Convert to fraction form
    293,882.85/405,553.84 = 164,821.30/x
  3. Step 3: Cross multiply
    293,882.85x = 405,553.84 × 164,821.30
  4. Step 4: Simplify right side
    293,882.85x = 66,843,909,702.85
  5. Step 5: Solve for x
    x = 66,843,909,702.85/293,882.85
  6. Step 6: Final answer
    x = 227,450.87

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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.