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Finding the Fourth Proportional to 206,392.59, 309,617.58 and 73,241.19

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Solution

The fourth proportional to 206,392.59, 309,617.58 and 73,241.19 is: 109,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,392.59 : 309,617.58 = 73,241.19 : x
  2. Step 2: Convert to fraction form
    206,392.59/309,617.58 = 73,241.19/x
  3. Step 3: Cross multiply
    206,392.59x = 309,617.58 × 73,241.19
  4. Step 4: Simplify right side
    206,392.59x = 22,676,760,004.12
  5. Step 5: Solve for x
    x = 22,676,760,004.12/206,392.59
  6. Step 6: Final answer
    x = 109,871.97

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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.