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Finding the Fourth Proportional to 188,556.92, 282,835.37 and 132,647.21

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Solution

The fourth proportional to 188,556.92, 282,835.37 and 132,647.21 is: 198,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,556.92 : 282,835.37 = 132,647.21 : x
  2. Step 2: Convert to fraction form
    188,556.92/282,835.37 = 132,647.21/x
  3. Step 3: Cross multiply
    188,556.92x = 282,835.37 × 132,647.21
  4. Step 4: Simplify right side
    188,556.92x = 37,517,320,642.40
  5. Step 5: Solve for x
    x = 37,517,320,642.40/188,556.92
  6. Step 6: Final answer
    x = 198,970.80

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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.