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Finding the Fourth Proportional to 202,961.40, 304,442.10 and 194,796.60

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Solution

The fourth proportional to 202,961.40, 304,442.10 and 194,796.60 is: 292,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,961.40 : 304,442.10 = 194,796.60 : x
  2. Step 2: Convert to fraction form
    202,961.40/304,442.10 = 194,796.60/x
  3. Step 3: Cross multiply
    202,961.40x = 304,442.10 × 194,796.60
  4. Step 4: Simplify right side
    202,961.40x = 59,304,285,976.86
  5. Step 5: Solve for x
    x = 59,304,285,976.86/202,961.40
  6. Step 6: Final answer
    x = 292,194.90

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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.