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Finding the Fourth Proportional to 232,136.38, 320,414.64 and 136,698.44

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Solution

The fourth proportional to 232,136.38, 320,414.64 and 136,698.44 is: 188,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,136.38 : 320,414.64 = 136,698.44 : x
  2. Step 2: Convert to fraction form
    232,136.38/320,414.64 = 136,698.44/x
  3. Step 3: Cross multiply
    232,136.38x = 320,414.64 × 136,698.44
  4. Step 4: Simplify right side
    232,136.38x = 43,800,179,326.47
  5. Step 5: Solve for x
    x = 43,800,179,326.47/232,136.38
  6. Step 6: Final answer
    x = 188,682.96

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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.