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Finding the Fourth Proportional to 204,548.52, 282,279.06 and 119,649

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Solution

The fourth proportional to 204,548.52, 282,279.06 and 119,649 is: 165,116.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,548.52 : 282,279.06 = 119,649 : x
  2. Step 2: Convert to fraction form
    204,548.52/282,279.06 = 119,649/x
  3. Step 3: Cross multiply
    204,548.52x = 282,279.06 × 119,649
  4. Step 4: Simplify right side
    204,548.52x = 33,774,407,249.94
  5. Step 5: Solve for x
    x = 33,774,407,249.94/204,548.52
  6. Step 6: Final answer
    x = 165,116.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.