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Finding the Fourth Proportional to 136,514, 204,771 and 38,018

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Solution

The fourth proportional to 136,514, 204,771 and 38,018 is: 57,027

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,514 : 204,771 = 38,018 : x
  2. Step 2: Convert to fraction form
    136,514/204,771 = 38,018/x
  3. Step 3: Cross multiply
    136,514x = 204,771 × 38,018
  4. Step 4: Simplify right side
    136,514x = 7,784,983,878
  5. Step 5: Solve for x
    x = 7,784,983,878/136,514
  6. Step 6: Final answer
    x = 57,027

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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.