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Finding the Fourth Proportional to 206,876.35, 285,498.18 and 116,232.49

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Solution

The fourth proportional to 206,876.35, 285,498.18 and 116,232.49 is: 160,405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.35 : 285,498.18 = 116,232.49 : x
  2. Step 2: Convert to fraction form
    206,876.35/285,498.18 = 116,232.49/x
  3. Step 3: Cross multiply
    206,876.35x = 285,498.18 × 116,232.49
  4. Step 4: Simplify right side
    206,876.35x = 33,184,162,343.21
  5. Step 5: Solve for x
    x = 33,184,162,343.21/206,876.35
  6. Step 6: Final answer
    x = 160,405.78

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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.