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Finding the Fourth Proportional to 204,582.10, 282,246.90 and 204,266.71

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Solution

The fourth proportional to 204,582.10, 282,246.90 and 204,266.71 is: 281,811.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,582.10 : 282,246.90 = 204,266.71 : x
  2. Step 2: Convert to fraction form
    204,582.10/282,246.90 = 204,266.71/x
  3. Step 3: Cross multiply
    204,582.10x = 282,246.90 × 204,266.71
  4. Step 4: Simplify right side
    204,582.10x = 57,653,645,670.70
  5. Step 5: Solve for x
    x = 57,653,645,670.70/204,582.10
  6. Step 6: Final answer
    x = 281,811.78

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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.