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Finding the Fourth Proportional to 204,624.30, 282,377.65 and 113,987.73

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Solution

The fourth proportional to 204,624.30, 282,377.65 and 113,987.73 is: 157,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,624.30 : 282,377.65 = 113,987.73 : x
  2. Step 2: Convert to fraction form
    204,624.30/282,377.65 = 113,987.73/x
  3. Step 3: Cross multiply
    204,624.30x = 282,377.65 × 113,987.73
  4. Step 4: Simplify right side
    204,624.30x = 32,187,587,326.23
  5. Step 5: Solve for x
    x = 32,187,587,326.23/204,624.30
  6. Step 6: Final answer
    x = 157,300.90

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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.