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Finding the Fourth Proportional to 287,882.16, 397,149 and 166,953.38

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Solution

The fourth proportional to 287,882.16, 397,149 and 166,953.38 is: 230,321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,882.16 : 397,149 = 166,953.38 : x
  2. Step 2: Convert to fraction form
    287,882.16/397,149 = 166,953.38/x
  3. Step 3: Cross multiply
    287,882.16x = 397,149 × 166,953.38
  4. Step 4: Simplify right side
    287,882.16x = 66,305,367,913.62
  5. Step 5: Solve for x
    x = 66,305,367,913.62/287,882.16
  6. Step 6: Final answer
    x = 230,321.21

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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.