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Finding the Fourth Proportional to 204,538.68, 282,285.24 and 119,726.88

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Solution

The fourth proportional to 204,538.68, 282,285.24 and 119,726.88 is: 165,235.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,538.68 : 282,285.24 = 119,726.88 : x
  2. Step 2: Convert to fraction form
    204,538.68/282,285.24 = 119,726.88/x
  3. Step 3: Cross multiply
    204,538.68x = 282,285.24 × 119,726.88
  4. Step 4: Simplify right side
    204,538.68x = 33,797,131,055.25
  5. Step 5: Solve for x
    x = 33,797,131,055.25/204,538.68
  6. Step 6: Final answer
    x = 165,235.89

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