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Finding the Fourth Proportional to 203,201.30, 304,654.26 and 84,906.50

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Solution

The fourth proportional to 203,201.30, 304,654.26 and 84,906.50 is: 127,298.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,201.30 : 304,654.26 = 84,906.50 : x
  2. Step 2: Convert to fraction form
    203,201.30/304,654.26 = 84,906.50/x
  3. Step 3: Cross multiply
    203,201.30x = 304,654.26 × 84,906.50
  4. Step 4: Simplify right side
    203,201.30x = 25,867,126,926.69
  5. Step 5: Solve for x
    x = 25,867,126,926.69/203,201.30
  6. Step 6: Final answer
    x = 127,298.04

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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.