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Finding the Fourth Proportional to 206,508.60, 309,374.10 and 106,327.80

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Solution

The fourth proportional to 206,508.60, 309,374.10 and 106,327.80 is: 159,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.60 : 309,374.10 = 106,327.80 : x
  2. Step 2: Convert to fraction form
    206,508.60/309,374.10 = 106,327.80/x
  3. Step 3: Cross multiply
    206,508.60x = 309,374.10 × 106,327.80
  4. Step 4: Simplify right side
    206,508.60x = 32,895,067,429.98
  5. Step 5: Solve for x
    x = 32,895,067,429.98/206,508.60
  6. Step 6: Final answer
    x = 159,291.51

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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.