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Finding the Fourth Proportional to 206,578.19, 309,202.97 and 106,602.21

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Solution

The fourth proportional to 206,578.19, 309,202.97 and 106,602.21 is: 159,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,578.19 : 309,202.97 = 106,602.21 : x
  2. Step 2: Convert to fraction form
    206,578.19/309,202.97 = 106,602.21/x
  3. Step 3: Cross multiply
    206,578.19x = 309,202.97 × 106,602.21
  4. Step 4: Simplify right side
    206,578.19x = 32,961,719,940.56
  5. Step 5: Solve for x
    x = 32,961,719,940.56/206,578.19
  6. Step 6: Final answer
    x = 159,560.50

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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.