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Finding the Fourth Proportional to 206,508.46, 285,272 and 159,367.68

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Solution

The fourth proportional to 206,508.46, 285,272 and 159,367.68 is: 220,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508.46 : 285,272 = 159,367.68 : x
  2. Step 2: Convert to fraction form
    206,508.46/285,272 = 159,367.68/x
  3. Step 3: Cross multiply
    206,508.46x = 285,272 × 159,367.68
  4. Step 4: Simplify right side
    206,508.46x = 45,463,136,808.96
  5. Step 5: Solve for x
    x = 45,463,136,808.96/206,508.46
  6. Step 6: Final answer
    x = 220,151.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.