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Finding the Fourth Proportional to 131,514.84, 197,272.26 and 122,067

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Solution

The fourth proportional to 131,514.84, 197,272.26 and 122,067 is: 183,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,514.84 : 197,272.26 = 122,067 : x
  2. Step 2: Convert to fraction form
    131,514.84/197,272.26 = 122,067/x
  3. Step 3: Cross multiply
    131,514.84x = 197,272.26 × 122,067
  4. Step 4: Simplify right side
    131,514.84x = 24,080,432,961.42
  5. Step 5: Solve for x
    x = 24,080,432,961.42/131,514.84
  6. Step 6: Final answer
    x = 183,100.50

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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.