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Finding the Fourth Proportional to 206,640.48, 285,193.92 and 116,033.92

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Solution

The fourth proportional to 206,640.48, 285,193.92 and 116,033.92 is: 160,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,640.48 : 285,193.92 = 116,033.92 : x
  2. Step 2: Convert to fraction form
    206,640.48/285,193.92 = 116,033.92/x
  3. Step 3: Cross multiply
    206,640.48x = 285,193.92 × 116,033.92
  4. Step 4: Simplify right side
    206,640.48x = 33,092,168,497.77
  5. Step 5: Solve for x
    x = 33,092,168,497.77/206,640.48
  6. Step 6: Final answer
    x = 160,143.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.