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Finding the Fourth Proportional to 203,201.49, 304,999.07 and 98,094.27

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Solution

The fourth proportional to 203,201.49, 304,999.07 and 98,094.27 is: 147,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,201.49 : 304,999.07 = 98,094.27 : x
  2. Step 2: Convert to fraction form
    203,201.49/304,999.07 = 98,094.27/x
  3. Step 3: Cross multiply
    203,201.49x = 304,999.07 × 98,094.27
  4. Step 4: Simplify right side
    203,201.49x = 29,918,660,631.86
  5. Step 5: Solve for x
    x = 29,918,660,631.86/203,201.49
  6. Step 6: Final answer
    x = 147,236.42

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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.