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Finding the Fourth Proportional to 205,121.25, 283,077.05 and 115,697.25

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Solution

The fourth proportional to 205,121.25, 283,077.05 and 115,697.25 is: 159,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,121.25 : 283,077.05 = 115,697.25 : x
  2. Step 2: Convert to fraction form
    205,121.25/283,077.05 = 115,697.25/x
  3. Step 3: Cross multiply
    205,121.25x = 283,077.05 × 115,697.25
  4. Step 4: Simplify right side
    205,121.25x = 32,751,235,644.63
  5. Step 5: Solve for x
    x = 32,751,235,644.63/205,121.25
  6. Step 6: Final answer
    x = 159,667.69

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