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Finding the Fourth Proportional to 188,108.73, 282,189.56 and 54,999

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Solution

The fourth proportional to 188,108.73, 282,189.56 and 54,999 is: 82,506.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,108.73 : 282,189.56 = 54,999 : x
  2. Step 2: Convert to fraction form
    188,108.73/282,189.56 = 54,999/x
  3. Step 3: Cross multiply
    188,108.73x = 282,189.56 × 54,999
  4. Step 4: Simplify right side
    188,108.73x = 15,520,143,335.45
  5. Step 5: Solve for x
    x = 15,520,143,335.45/188,108.73
  6. Step 6: Final answer
    x = 82,506.24

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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.