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Finding the Fourth Proportional to 199,027.38, 274,613.31 and 166,891.98

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Solution

The fourth proportional to 199,027.38, 274,613.31 and 166,891.98 is: 230,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,027.38 : 274,613.31 = 166,891.98 : x
  2. Step 2: Convert to fraction form
    199,027.38/274,613.31 = 166,891.98/x
  3. Step 3: Cross multiply
    199,027.38x = 274,613.31 × 166,891.98
  4. Step 4: Simplify right side
    199,027.38x = 45,830,759,040.25
  5. Step 5: Solve for x
    x = 45,830,759,040.25/199,027.38
  6. Step 6: Final answer
    x = 230,273.64

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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.