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Finding the Fourth Proportional to 206,759.58, 309,942.54 and 66,419.82

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Solution

The fourth proportional to 206,759.58, 309,942.54 and 66,419.82 is: 99,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,759.58 : 309,942.54 = 66,419.82 : x
  2. Step 2: Convert to fraction form
    206,759.58/309,942.54 = 66,419.82/x
  3. Step 3: Cross multiply
    206,759.58x = 309,942.54 × 66,419.82
  4. Step 4: Simplify right side
    206,759.58x = 20,586,327,717.14
  5. Step 5: Solve for x
    x = 20,586,327,717.14/206,759.58
  6. Step 6: Final answer
    x = 99,566.50

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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.