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Finding the Fourth Proportional to 188,027.52, 282,010.98 and 54,876.48

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Solution

The fourth proportional to 188,027.52, 282,010.98 and 54,876.48 is: 82,305.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,027.52 : 282,010.98 = 54,876.48 : x
  2. Step 2: Convert to fraction form
    188,027.52/282,010.98 = 54,876.48/x
  3. Step 3: Cross multiply
    188,027.52x = 282,010.98 × 54,876.48
  4. Step 4: Simplify right side
    188,027.52x = 15,475,769,903.75
  5. Step 5: Solve for x
    x = 15,475,769,903.75/188,027.52
  6. Step 6: Final answer
    x = 82,305.88

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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.