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Finding the Fourth Proportional to 204,585.98, 282,252.24 and 204,270.57

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Solution

The fourth proportional to 204,585.98, 282,252.24 and 204,270.57 is: 281,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,585.98 : 282,252.24 = 204,270.57 : x
  2. Step 2: Convert to fraction form
    204,585.98/282,252.24 = 204,270.57/x
  3. Step 3: Cross multiply
    204,585.98x = 282,252.24 × 204,270.57
  4. Step 4: Simplify right side
    204,585.98x = 57,655,825,948.58
  5. Step 5: Solve for x
    x = 57,655,825,948.58/204,585.98
  6. Step 6: Final answer
    x = 281,817.10

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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.