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Finding the Fourth Proportional to 204,963.14, 305,407.11 and 182,604.71

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Solution

The fourth proportional to 204,963.14, 305,407.11 and 182,604.71 is: 272,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,963.14 : 305,407.11 = 182,604.71 : x
  2. Step 2: Convert to fraction form
    204,963.14/305,407.11 = 182,604.71/x
  3. Step 3: Cross multiply
    204,963.14x = 305,407.11 × 182,604.71
  4. Step 4: Simplify right side
    204,963.14x = 55,768,776,753.49
  5. Step 5: Solve for x
    x = 55,768,776,753.49/204,963.14
  6. Step 6: Final answer
    x = 272,091.74

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Why These Related Problems?

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