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Finding the Fourth Proportional to 205,928.62, 284,034.96 and 188,987.58

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Solution

The fourth proportional to 205,928.62, 284,034.96 and 188,987.58 is: 260,668.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,928.62 : 284,034.96 = 188,987.58 : x
  2. Step 2: Convert to fraction form
    205,928.62/284,034.96 = 188,987.58/x
  3. Step 3: Cross multiply
    205,928.62x = 284,034.96 × 188,987.58
  4. Step 4: Simplify right side
    205,928.62x = 53,679,079,725.80
  5. Step 5: Solve for x
    x = 53,679,079,725.80/205,928.62
  6. Step 6: Final answer
    x = 260,668.39

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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.