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Finding the Fourth Proportional to 206,998.41, 310,310.55 and 73,847.01

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Solution

The fourth proportional to 206,998.41, 310,310.55 and 73,847.01 is: 110,703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,998.41 : 310,310.55 = 73,847.01 : x
  2. Step 2: Convert to fraction form
    206,998.41/310,310.55 = 73,847.01/x
  3. Step 3: Cross multiply
    206,998.41x = 310,310.55 × 73,847.01
  4. Step 4: Simplify right side
    206,998.41x = 22,915,506,288.96
  5. Step 5: Solve for x
    x = 22,915,506,288.96/206,998.41
  6. Step 6: Final answer
    x = 110,703.78

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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.