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Finding the Fourth Proportional to 168,714, 232,830.41 and 92,231.37

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Solution

The fourth proportional to 168,714, 232,830.41 and 92,231.37 is: 127,282.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,714 : 232,830.41 = 92,231.37 : x
  2. Step 2: Convert to fraction form
    168,714/232,830.41 = 92,231.37/x
  3. Step 3: Cross multiply
    168,714x = 232,830.41 × 92,231.37
  4. Step 4: Simplify right side
    168,714x = 21,474,267,230.80
  5. Step 5: Solve for x
    x = 21,474,267,230.80/168,714
  6. Step 6: Final answer
    x = 127,282.07

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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.