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Finding the Fourth Proportional to 204,064.59, 305,201.58 and 181,732.76

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Solution

The fourth proportional to 204,064.59, 305,201.58 and 181,732.76 is: 271,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,064.59 : 305,201.58 = 181,732.76 : x
  2. Step 2: Convert to fraction form
    204,064.59/305,201.58 = 181,732.76/x
  3. Step 3: Cross multiply
    204,064.59x = 305,201.58 × 181,732.76
  4. Step 4: Simplify right side
    204,064.59x = 55,465,123,963.75
  5. Step 5: Solve for x
    x = 55,465,123,963.75/204,064.59
  6. Step 6: Final answer
    x = 271,801.81

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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.