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Finding the Fourth Proportional to 188,906.60, 283,100.70 and 153,914.60

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Solution

The fourth proportional to 188,906.60, 283,100.70 and 153,914.60 is: 230,660.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,906.60 : 283,100.70 = 153,914.60 : x
  2. Step 2: Convert to fraction form
    188,906.60/283,100.70 = 153,914.60/x
  3. Step 3: Cross multiply
    188,906.60x = 283,100.70 × 153,914.60
  4. Step 4: Simplify right side
    188,906.60x = 43,573,331,000.22
  5. Step 5: Solve for x
    x = 43,573,331,000.22/188,906.60
  6. Step 6: Final answer
    x = 230,660.71

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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.