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Finding the Fourth Proportional to 205,203.36, 307,671.81 and 85,227.39

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Solution

The fourth proportional to 205,203.36, 307,671.81 and 85,227.39 is: 127,785.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,203.36 : 307,671.81 = 85,227.39 : x
  2. Step 2: Convert to fraction form
    205,203.36/307,671.81 = 85,227.39/x
  3. Step 3: Cross multiply
    205,203.36x = 307,671.81 × 85,227.39
  4. Step 4: Simplify right side
    205,203.36x = 26,222,065,342.88
  5. Step 5: Solve for x
    x = 26,222,065,342.88/205,203.36
  6. Step 6: Final answer
    x = 127,785.75

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