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Finding the Fourth Proportional to 204,963.64, 305,407.84 and 182,605.21

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Solution

The fourth proportional to 204,963.64, 305,407.84 and 182,605.21 is: 272,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,963.64 : 305,407.84 = 182,605.21 : x
  2. Step 2: Convert to fraction form
    204,963.64/305,407.84 = 182,605.21/x
  3. Step 3: Cross multiply
    204,963.64x = 305,407.84 × 182,605.21
  4. Step 4: Simplify right side
    204,963.64x = 55,769,062,758.85
  5. Step 5: Solve for x
    x = 55,769,062,758.85/204,963.64
  6. Step 6: Final answer
    x = 272,092.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.