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Finding the Fourth Proportional to 188,793.46, 283,309.68 and 171,060.31

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Solution

The fourth proportional to 188,793.46, 283,309.68 and 171,060.31 is: 256,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,793.46 : 283,309.68 = 171,060.31 : x
  2. Step 2: Convert to fraction form
    188,793.46/283,309.68 = 171,060.31/x
  3. Step 3: Cross multiply
    188,793.46x = 283,309.68 × 171,060.31
  4. Step 4: Simplify right side
    188,793.46x = 48,463,039,645.48
  5. Step 5: Solve for x
    x = 48,463,039,645.48/188,793.46
  6. Step 6: Final answer
    x = 256,698.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.