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Finding the Fourth Proportional to 206,712.45, 285,245.67 and 116,061.30

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Solution

The fourth proportional to 206,712.45, 285,245.67 and 116,061.30 is: 160,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,712.45 : 285,245.67 = 116,061.30 : x
  2. Step 2: Convert to fraction form
    206,712.45/285,245.67 = 116,061.30/x
  3. Step 3: Cross multiply
    206,712.45x = 285,245.67 × 116,061.30
  4. Step 4: Simplify right side
    206,712.45x = 33,105,983,279.57
  5. Step 5: Solve for x
    x = 33,105,983,279.57/206,712.45
  6. Step 6: Final answer
    x = 160,154.76

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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.