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Finding the Fourth Proportional to 101,591.85, 140,197.76 and 61,297.84

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Solution

The fourth proportional to 101,591.85, 140,197.76 and 61,297.84 is: 84,591.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,591.85 : 140,197.76 = 61,297.84 : x
  2. Step 2: Convert to fraction form
    101,591.85/140,197.76 = 61,297.84/x
  3. Step 3: Cross multiply
    101,591.85x = 140,197.76 × 61,297.84
  4. Step 4: Simplify right side
    101,591.85x = 8,593,819,737.56
  5. Step 5: Solve for x
    x = 8,593,819,737.56/101,591.85
  6. Step 6: Final answer
    x = 84,591.63

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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.