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Finding the Fourth Proportional to 140,971.16, 211,436.16 and 41,104.52

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Solution

The fourth proportional to 140,971.16, 211,436.16 and 41,104.52 is: 61,650.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,971.16 : 211,436.16 = 41,104.52 : x
  2. Step 2: Convert to fraction form
    140,971.16/211,436.16 = 41,104.52/x
  3. Step 3: Cross multiply
    140,971.16x = 211,436.16 × 41,104.52
  4. Step 4: Simplify right side
    140,971.16x = 8,690,981,867.44
  5. Step 5: Solve for x
    x = 8,690,981,867.44/140,971.16
  6. Step 6: Final answer
    x = 61,650.78

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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.