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Finding the Fourth Proportional to 204,516.68, 282,156.71 and 204,200.96

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Solution

The fourth proportional to 204,516.68, 282,156.71 and 204,200.96 is: 281,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,516.68 : 282,156.71 = 204,200.96 : x
  2. Step 2: Convert to fraction form
    204,516.68/282,156.71 = 204,200.96/x
  3. Step 3: Cross multiply
    204,516.68x = 282,156.71 × 204,200.96
  4. Step 4: Simplify right side
    204,516.68x = 57,616,668,620.65
  5. Step 5: Solve for x
    x = 57,616,668,620.65/204,516.68
  6. Step 6: Final answer
    x = 281,721.13

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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.