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Finding the Fourth Proportional to 206,323.97, 309,383.87 and 73,184.27

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Solution

The fourth proportional to 206,323.97, 309,383.87 and 73,184.27 is: 109,740.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,323.97 : 309,383.87 = 73,184.27 : x
  2. Step 2: Convert to fraction form
    206,323.97/309,383.87 = 73,184.27/x
  3. Step 3: Cross multiply
    206,323.97x = 309,383.87 × 73,184.27
  4. Step 4: Simplify right side
    206,323.97x = 22,642,030,762.88
  5. Step 5: Solve for x
    x = 22,642,030,762.88/206,323.97
  6. Step 6: Final answer
    x = 109,740.19

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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.