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Finding the Fourth Proportional to 136,524.62, 204,879.22 and 47,778.91

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Solution

The fourth proportional to 136,524.62, 204,879.22 and 47,778.91 is: 71,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,524.62 : 204,879.22 = 47,778.91 : x
  2. Step 2: Convert to fraction form
    136,524.62/204,879.22 = 47,778.91/x
  3. Step 3: Cross multiply
    136,524.62x = 204,879.22 × 47,778.91
  4. Step 4: Simplify right side
    136,524.62x = 9,788,905,181.60
  5. Step 5: Solve for x
    x = 9,788,905,181.60/136,524.62
  6. Step 6: Final answer
    x = 71,700.66

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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.