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Finding the Fourth Proportional to 206,270.46, 284,648.11 and 114,389.22

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Solution

The fourth proportional to 206,270.46, 284,648.11 and 114,389.22 is: 157,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,270.46 : 284,648.11 = 114,389.22 : x
  2. Step 2: Convert to fraction form
    206,270.46/284,648.11 = 114,389.22/x
  3. Step 3: Cross multiply
    206,270.46x = 284,648.11 × 114,389.22
  4. Step 4: Simplify right side
    206,270.46x = 32,560,675,277.37
  5. Step 5: Solve for x
    x = 32,560,675,277.37/206,270.46
  6. Step 6: Final answer
    x = 157,854.28

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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.