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Finding the Fourth Proportional to 188,144.25, 282,216.38 and 63,485.25

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Solution

The fourth proportional to 188,144.25, 282,216.38 and 63,485.25 is: 95,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,144.25 : 282,216.38 = 63,485.25 : x
  2. Step 2: Convert to fraction form
    188,144.25/282,216.38 = 63,485.25/x
  3. Step 3: Cross multiply
    188,144.25x = 282,216.38 × 63,485.25
  4. Step 4: Simplify right side
    188,144.25x = 17,916,577,120.97
  5. Step 5: Solve for x
    x = 17,916,577,120.97/188,144.25
  6. Step 6: Final answer
    x = 95,227.88

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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.