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Finding the Fourth Proportional to 206,202.30, 308,785.05 and 135,699.90

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Solution

The fourth proportional to 206,202.30, 308,785.05 and 135,699.90 is: 203,208.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,202.30 : 308,785.05 = 135,699.90 : x
  2. Step 2: Convert to fraction form
    206,202.30/308,785.05 = 135,699.90/x
  3. Step 3: Cross multiply
    206,202.30x = 308,785.05 × 135,699.90
  4. Step 4: Simplify right side
    206,202.30x = 41,902,100,406.50
  5. Step 5: Solve for x
    x = 41,902,100,406.50/206,202.30
  6. Step 6: Final answer
    x = 203,208.70

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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.