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Finding the Fourth Proportional to 179,714, 248,005.32 and 100,226

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Solution

The fourth proportional to 179,714, 248,005.32 and 100,226 is: 138,311.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,714 : 248,005.32 = 100,226 : x
  2. Step 2: Convert to fraction form
    179,714/248,005.32 = 100,226/x
  3. Step 3: Cross multiply
    179,714x = 248,005.32 × 100,226
  4. Step 4: Simplify right side
    179,714x = 24,856,581,202.32
  5. Step 5: Solve for x
    x = 24,856,581,202.32/179,714
  6. Step 6: Final answer
    x = 138,311.88

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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.