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Finding the Fourth Proportional to 206,426, 309,691.04 and 58,682

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Solution

The fourth proportional to 206,426, 309,691.04 and 58,682 is: 88,037.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,426 : 309,691.04 = 58,682 : x
  2. Step 2: Convert to fraction form
    206,426/309,691.04 = 58,682/x
  3. Step 3: Cross multiply
    206,426x = 309,691.04 × 58,682
  4. Step 4: Simplify right side
    206,426x = 18,173,289,609.28
  5. Step 5: Solve for x
    x = 18,173,289,609.28/206,426
  6. Step 6: Final answer
    x = 88,037.79

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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.