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Finding the Fourth Proportional to 222,714, 334,064.52 and 82,469.52

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Solution

The fourth proportional to 222,714, 334,064.52 and 82,469.52 is: 123,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,714 : 334,064.52 = 82,469.52 : x
  2. Step 2: Convert to fraction form
    222,714/334,064.52 = 82,469.52/x
  3. Step 3: Cross multiply
    222,714x = 334,064.52 × 82,469.52
  4. Step 4: Simplify right side
    222,714x = 27,550,140,613.43
  5. Step 5: Solve for x
    x = 27,550,140,613.43/222,714
  6. Step 6: Final answer
    x = 123,701.88

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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.