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Finding the Fourth Proportional to 204,961.64, 305,404.86 and 182,603.21

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Solution

The fourth proportional to 204,961.64, 305,404.86 and 182,603.21 is: 272,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,961.64 : 305,404.86 = 182,603.21 : x
  2. Step 2: Convert to fraction form
    204,961.64/305,404.86 = 182,603.21/x
  3. Step 3: Cross multiply
    204,961.64x = 305,404.86 × 182,603.21
  4. Step 4: Simplify right side
    204,961.64x = 55,767,906,258.58
  5. Step 5: Solve for x
    x = 55,767,906,258.58/204,961.64
  6. Step 6: Final answer
    x = 272,089.49

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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.