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Finding the Fourth Proportional to 188,194.50, 282,292.17 and 132,284.80

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Solution

The fourth proportional to 188,194.50, 282,292.17 and 132,284.80 is: 198,427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,194.50 : 282,292.17 = 132,284.80 : x
  2. Step 2: Convert to fraction form
    188,194.50/282,292.17 = 132,284.80/x
  3. Step 3: Cross multiply
    188,194.50x = 282,292.17 × 132,284.80
  4. Step 4: Simplify right side
    188,194.50x = 37,342,962,048.22
  5. Step 5: Solve for x
    x = 37,342,962,048.22/188,194.50
  6. Step 6: Final answer
    x = 198,427.48

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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.