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Finding the Fourth Proportional to 206,112.60, 309,183.30 and 81,437.40

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Solution

The fourth proportional to 206,112.60, 309,183.30 and 81,437.40 is: 122,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,112.60 : 309,183.30 = 81,437.40 : x
  2. Step 2: Convert to fraction form
    206,112.60/309,183.30 = 81,437.40/x
  3. Step 3: Cross multiply
    206,112.60x = 309,183.30 × 81,437.40
  4. Step 4: Simplify right side
    206,112.60x = 25,179,084,075.42
  5. Step 5: Solve for x
    x = 25,179,084,075.42/206,112.60
  6. Step 6: Final answer
    x = 122,161.79

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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.