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Finding the Fourth Proportional to 206,263.20, 284,663.39 and 115,619.34

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Solution

The fourth proportional to 206,263.20, 284,663.39 and 115,619.34 is: 159,565.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,263.20 : 284,663.39 = 115,619.34 : x
  2. Step 2: Convert to fraction form
    206,263.20/284,663.39 = 115,619.34/x
  3. Step 3: Cross multiply
    206,263.20x = 284,663.39 × 115,619.34
  4. Step 4: Simplify right side
    206,263.20x = 32,912,592,695.87
  5. Step 5: Solve for x
    x = 32,912,592,695.87/206,263.20
  6. Step 6: Final answer
    x = 159,565.99

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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.