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Finding the Fourth Proportional to 140,944.83, 211,396.74 and 41,078.22

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Solution

The fourth proportional to 140,944.83, 211,396.74 and 41,078.22 is: 61,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,944.83 : 211,396.74 = 41,078.22 : x
  2. Step 2: Convert to fraction form
    140,944.83/211,396.74 = 41,078.22/x
  3. Step 3: Cross multiply
    140,944.83x = 211,396.74 × 41,078.22
  4. Step 4: Simplify right side
    140,944.83x = 8,683,801,793.00
  5. Step 5: Solve for x
    x = 8,683,801,793.00/140,944.83
  6. Step 6: Final answer
    x = 61,611.35

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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.