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Finding the Fourth Proportional to 205,909.44, 308,791.80 and 61,772.28

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Solution

The fourth proportional to 205,909.44, 308,791.80 and 61,772.28 is: 92,636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,909.44 : 308,791.80 = 61,772.28 : x
  2. Step 2: Convert to fraction form
    205,909.44/308,791.80 = 61,772.28/x
  3. Step 3: Cross multiply
    205,909.44x = 308,791.80 × 61,772.28
  4. Step 4: Simplify right side
    205,909.44x = 19,074,773,531.30
  5. Step 5: Solve for x
    x = 19,074,773,531.30/205,909.44
  6. Step 6: Final answer
    x = 92,636.71

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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.