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Finding the Fourth Proportional to 204,671.14, 307,039.51 and 86,359.91

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Solution

The fourth proportional to 204,671.14, 307,039.51 and 86,359.91 is: 129,553.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671.14 : 307,039.51 = 86,359.91 : x
  2. Step 2: Convert to fraction form
    204,671.14/307,039.51 = 86,359.91/x
  3. Step 3: Cross multiply
    204,671.14x = 307,039.51 × 86,359.91
  4. Step 4: Simplify right side
    204,671.14x = 26,515,903,022.80
  5. Step 5: Solve for x
    x = 26,515,903,022.80/204,671.14
  6. Step 6: Final answer
    x = 129,553.70

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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.