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Finding the Fourth Proportional to 204,951.47, 307,543.84 and 163,660.91

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Solution

The fourth proportional to 204,951.47, 307,543.84 and 163,660.91 is: 245,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,951.47 : 307,543.84 = 163,660.91 : x
  2. Step 2: Convert to fraction form
    204,951.47/307,543.84 = 163,660.91/x
  3. Step 3: Cross multiply
    204,951.47x = 307,543.84 × 163,660.91
  4. Step 4: Simplify right side
    204,951.47x = 50,332,902,772.42
  5. Step 5: Solve for x
    x = 50,332,902,772.42/204,951.47
  6. Step 6: Final answer
    x = 245,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.