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Finding the Fourth Proportional to 188,099.26, 282,147.92 and 66,609.94

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Solution

The fourth proportional to 188,099.26, 282,147.92 and 66,609.94 is: 99,914.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,099.26 : 282,147.92 = 66,609.94 : x
  2. Step 2: Convert to fraction form
    188,099.26/282,147.92 = 66,609.94/x
  3. Step 3: Cross multiply
    188,099.26x = 282,147.92 × 66,609.94
  4. Step 4: Simplify right side
    188,099.26x = 18,793,856,022.32
  5. Step 5: Solve for x
    x = 18,793,856,022.32/188,099.26
  6. Step 6: Final answer
    x = 99,914.57

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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.