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Finding the Fourth Proportional to 206,601.40, 309,902.10 and 181,669.60

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Solution

The fourth proportional to 206,601.40, 309,902.10 and 181,669.60 is: 272,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,601.40 : 309,902.10 = 181,669.60 : x
  2. Step 2: Convert to fraction form
    206,601.40/309,902.10 = 181,669.60/x
  3. Step 3: Cross multiply
    206,601.40x = 309,902.10 × 181,669.60
  4. Step 4: Simplify right side
    206,601.40x = 56,299,790,546.16
  5. Step 5: Solve for x
    x = 56,299,790,546.16/206,601.40
  6. Step 6: Final answer
    x = 272,504.40

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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.