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Finding the Fourth Proportional to 217,999.38, 300,842.70 and 119,886.78

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Solution

The fourth proportional to 217,999.38, 300,842.70 and 119,886.78 is: 165,445.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,999.38 : 300,842.70 = 119,886.78 : x
  2. Step 2: Convert to fraction form
    217,999.38/300,842.70 = 119,886.78/x
  3. Step 3: Cross multiply
    217,999.38x = 300,842.70 × 119,886.78
  4. Step 4: Simplify right side
    217,999.38x = 36,067,062,589.51
  5. Step 5: Solve for x
    x = 36,067,062,589.51/217,999.38
  6. Step 6: Final answer
    x = 165,445.71

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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.