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Finding the Fourth Proportional to 220,892.10, 304,843.91 and 166,346.61

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Solution

The fourth proportional to 220,892.10, 304,843.91 and 166,346.61 is: 229,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,892.10 : 304,843.91 = 166,346.61 : x
  2. Step 2: Convert to fraction form
    220,892.10/304,843.91 = 166,346.61/x
  3. Step 3: Cross multiply
    220,892.10x = 304,843.91 × 166,346.61
  4. Step 4: Simplify right side
    220,892.10x = 50,709,750,175.91
  5. Step 5: Solve for x
    x = 50,709,750,175.91/220,892.10
  6. Step 6: Final answer
    x = 229,567.97

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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.