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Finding the Fourth Proportional to 206,173.12, 309,286.56 and 58,432.96

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Solution

The fourth proportional to 206,173.12, 309,286.56 and 58,432.96 is: 87,657.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,173.12 : 309,286.56 = 58,432.96 : x
  2. Step 2: Convert to fraction form
    206,173.12/309,286.56 = 58,432.96/x
  3. Step 3: Cross multiply
    206,173.12x = 309,286.56 × 58,432.96
  4. Step 4: Simplify right side
    206,173.12x = 18,072,529,189.02
  5. Step 5: Solve for x
    x = 18,072,529,189.02/206,173.12
  6. Step 6: Final answer
    x = 87,657.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.