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Finding the Fourth Proportional to 287,530.11, 396,793.17 and 166,743.11

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Solution

The fourth proportional to 287,530.11, 396,793.17 and 166,743.11 is: 230,106.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,530.11 : 396,793.17 = 166,743.11 : x
  2. Step 2: Convert to fraction form
    287,530.11/396,793.17 = 166,743.11/x
  3. Step 3: Cross multiply
    287,530.11x = 396,793.17 × 166,743.11
  4. Step 4: Simplify right side
    287,530.11x = 66,162,527,192.56
  5. Step 5: Solve for x
    x = 66,162,527,192.56/287,530.11
  6. Step 6: Final answer
    x = 230,106.43

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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.