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Finding the Fourth Proportional to 206,507.46, 285,270.62 and 159,366.68

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Solution

The fourth proportional to 206,507.46, 285,270.62 and 159,366.68 is: 220,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,507.46 : 285,270.62 = 159,366.68 : x
  2. Step 2: Convert to fraction form
    206,507.46/285,270.62 = 159,366.68/x
  3. Step 3: Cross multiply
    206,507.46x = 285,270.62 × 159,366.68
  4. Step 4: Simplify right side
    206,507.46x = 45,462,631,610.94
  5. Step 5: Solve for x
    x = 45,462,631,610.94/206,507.46
  6. Step 6: Final answer
    x = 220,150.07

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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.