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Finding the Fourth Proportional to 102,012.66, 140,778.25 and 56,694.89

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Solution

The fourth proportional to 102,012.66, 140,778.25 and 56,694.89 is: 78,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,012.66 : 140,778.25 = 56,694.89 : x
  2. Step 2: Convert to fraction form
    102,012.66/140,778.25 = 56,694.89/x
  3. Step 3: Cross multiply
    102,012.66x = 140,778.25 × 56,694.89
  4. Step 4: Simplify right side
    102,012.66x = 7,981,407,608.35
  5. Step 5: Solve for x
    x = 7,981,407,608.35/102,012.66
  6. Step 6: Final answer
    x = 78,239.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.