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Finding the Fourth Proportional to 217,134.38, 299,644.44 and 121,641.86

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Solution

The fourth proportional to 217,134.38, 299,644.44 and 121,641.86 is: 167,865.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,134.38 : 299,644.44 = 121,641.86 : x
  2. Step 2: Convert to fraction form
    217,134.38/299,644.44 = 121,641.86/x
  3. Step 3: Cross multiply
    217,134.38x = 299,644.44 × 121,641.86
  4. Step 4: Simplify right side
    217,134.38x = 36,449,307,020.26
  5. Step 5: Solve for x
    x = 36,449,307,020.26/217,134.38
  6. Step 6: Final answer
    x = 167,865.20

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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.