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Finding the Fourth Proportional to 227,657.66, 341,523.53 and 85,514

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Solution

The fourth proportional to 227,657.66, 341,523.53 and 85,514 is: 128,284.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,657.66 : 341,523.53 = 85,514 : x
  2. Step 2: Convert to fraction form
    227,657.66/341,523.53 = 85,514/x
  3. Step 3: Cross multiply
    227,657.66x = 341,523.53 × 85,514
  4. Step 4: Simplify right side
    227,657.66x = 29,205,042,716.85
  5. Step 5: Solve for x
    x = 29,205,042,716.85/227,657.66
  6. Step 6: Final answer
    x = 128,284.91

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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.