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Finding the Fourth Proportional to 128,906.14, 193,359.21 and 40,166.82

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Solution

The fourth proportional to 128,906.14, 193,359.21 and 40,166.82 is: 60,250.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,906.14 : 193,359.21 = 40,166.82 : x
  2. Step 2: Convert to fraction form
    128,906.14/193,359.21 = 40,166.82/x
  3. Step 3: Cross multiply
    128,906.14x = 193,359.21 × 40,166.82
  4. Step 4: Simplify right side
    128,906.14x = 7,766,624,583.41
  5. Step 5: Solve for x
    x = 7,766,624,583.41/128,906.14
  6. Step 6: Final answer
    x = 60,250.23

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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.