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Finding the Fourth Proportional to 206,220.99, 284,584.58 and 115,576.93

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Solution

The fourth proportional to 206,220.99, 284,584.58 and 115,576.93 is: 159,495.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,220.99 : 284,584.58 = 115,576.93 : x
  2. Step 2: Convert to fraction form
    206,220.99/284,584.58 = 115,576.93/x
  3. Step 3: Cross multiply
    206,220.99x = 284,584.58 × 115,576.93
  4. Step 4: Simplify right side
    206,220.99x = 32,891,412,142.73
  5. Step 5: Solve for x
    x = 32,891,412,142.73/206,220.99
  6. Step 6: Final answer
    x = 159,495.95

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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.