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Finding the Fourth Proportional to 71,204.60, 106,883.70 and 40,100.60

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Solution

The fourth proportional to 71,204.60, 106,883.70 and 40,100.60 is: 60,194.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204.60 : 106,883.70 = 40,100.60 : x
  2. Step 2: Convert to fraction form
    71,204.60/106,883.70 = 40,100.60/x
  3. Step 3: Cross multiply
    71,204.60x = 106,883.70 × 40,100.60
  4. Step 4: Simplify right side
    71,204.60x = 4,286,100,500.22
  5. Step 5: Solve for x
    x = 4,286,100,500.22/71,204.60
  6. Step 6: Final answer
    x = 60,194.15

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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.