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Finding the Fourth Proportional to 211,879.38, 292,321.11 and 121,202.31

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Solution

The fourth proportional to 211,879.38, 292,321.11 and 121,202.31 is: 167,217.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,879.38 : 292,321.11 = 121,202.31 : x
  2. Step 2: Convert to fraction form
    211,879.38/292,321.11 = 121,202.31/x
  3. Step 3: Cross multiply
    211,879.38x = 292,321.11 × 121,202.31
  4. Step 4: Simplify right side
    211,879.38x = 35,429,993,793.76
  5. Step 5: Solve for x
    x = 35,429,993,793.76/211,879.38
  6. Step 6: Final answer
    x = 167,217.75

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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.