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Finding the Fourth Proportional to 206,393.76, 284,806.80 and 114,516

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Solution

The fourth proportional to 206,393.76, 284,806.80 and 114,516 is: 158,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,393.76 : 284,806.80 = 114,516 : x
  2. Step 2: Convert to fraction form
    206,393.76/284,806.80 = 114,516/x
  3. Step 3: Cross multiply
    206,393.76x = 284,806.80 × 114,516
  4. Step 4: Simplify right side
    206,393.76x = 32,614,935,508.80
  5. Step 5: Solve for x
    x = 32,614,935,508.80/206,393.76
  6. Step 6: Final answer
    x = 158,022.88

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Why These Related Problems?

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