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Finding the Fourth Proportional to 206,435.14, 309,578.35 and 71,462.53

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Solution

The fourth proportional to 206,435.14, 309,578.35 and 71,462.53 is: 107,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,435.14 : 309,578.35 = 71,462.53 : x
  2. Step 2: Convert to fraction form
    206,435.14/309,578.35 = 71,462.53/x
  3. Step 3: Cross multiply
    206,435.14x = 309,578.35 × 71,462.53
  4. Step 4: Simplify right side
    206,435.14x = 22,123,252,124.23
  5. Step 5: Solve for x
    x = 22,123,252,124.23/206,435.14
  6. Step 6: Final answer
    x = 107,168.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.