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Finding the Fourth Proportional to 188,189.30, 282,255.33 and 55,033.94

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Solution

The fourth proportional to 188,189.30, 282,255.33 and 55,033.94 is: 82,542.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,189.30 : 282,255.33 = 55,033.94 : x
  2. Step 2: Convert to fraction form
    188,189.30/282,255.33 = 55,033.94/x
  3. Step 3: Cross multiply
    188,189.30x = 282,255.33 × 55,033.94
  4. Step 4: Simplify right side
    188,189.30x = 15,533,622,895.90
  5. Step 5: Solve for x
    x = 15,533,622,895.90/188,189.30
  6. Step 6: Final answer
    x = 82,542.54

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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.