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Finding the Fourth Proportional to 206,383.62, 309,606.21 and 73,252.74

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Solution

The fourth proportional to 206,383.62, 309,606.21 and 73,252.74 is: 109,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,383.62 : 309,606.21 = 73,252.74 : x
  2. Step 2: Convert to fraction form
    206,383.62/309,606.21 = 73,252.74/x
  3. Step 3: Cross multiply
    206,383.62x = 309,606.21 × 73,252.74
  4. Step 4: Simplify right side
    206,383.62x = 22,679,503,203.52
  5. Step 5: Solve for x
    x = 22,679,503,203.52/206,383.62
  6. Step 6: Final answer
    x = 109,890.03

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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.