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Finding the Fourth Proportional to 203,774.90, 305,564.03 and 85,414.46

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Solution

The fourth proportional to 203,774.90, 305,564.03 and 85,414.46 is: 128,080.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,774.90 : 305,564.03 = 85,414.46 : x
  2. Step 2: Convert to fraction form
    203,774.90/305,564.03 = 85,414.46/x
  3. Step 3: Cross multiply
    203,774.90x = 305,564.03 × 85,414.46
  4. Step 4: Simplify right side
    203,774.90x = 26,099,586,067.50
  5. Step 5: Solve for x
    x = 26,099,586,067.50/203,774.90
  6. Step 6: Final answer
    x = 128,080.48

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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.