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Finding the Fourth Proportional to 206,812.08, 310,219.32 and 73,697.46

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Solution

The fourth proportional to 206,812.08, 310,219.32 and 73,697.46 is: 110,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,812.08 : 310,219.32 = 73,697.46 : x
  2. Step 2: Convert to fraction form
    206,812.08/310,219.32 = 73,697.46/x
  3. Step 3: Cross multiply
    206,812.08x = 310,219.32 × 73,697.46
  4. Step 4: Simplify right side
    206,812.08x = 22,862,375,926.93
  5. Step 5: Solve for x
    x = 22,862,375,926.93/206,812.08
  6. Step 6: Final answer
    x = 110,546.62

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Why These Related Problems?

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