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Finding the Fourth Proportional to 214,046.69, 295,044.26 and 168,654.29

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Solution

The fourth proportional to 214,046.69, 295,044.26 and 168,654.29 is: 232,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,046.69 : 295,044.26 = 168,654.29 : x
  2. Step 2: Convert to fraction form
    214,046.69/295,044.26 = 168,654.29/x
  3. Step 3: Cross multiply
    214,046.69x = 295,044.26 × 168,654.29
  4. Step 4: Simplify right side
    214,046.69x = 49,760,477,870.38
  5. Step 5: Solve for x
    x = 49,760,477,870.38/214,046.69
  6. Step 6: Final answer
    x = 232,474.88

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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.