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Finding the Fourth Proportional to 206,396.59, 309,623.58 and 73,245.19

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Solution

The fourth proportional to 206,396.59, 309,623.58 and 73,245.19 is: 109,877.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,396.59 : 309,623.58 = 73,245.19 : x
  2. Step 2: Convert to fraction form
    206,396.59/309,623.58 = 73,245.19/x
  3. Step 3: Cross multiply
    206,396.59x = 309,623.58 × 73,245.19
  4. Step 4: Simplify right side
    206,396.59x = 22,678,437,945.58
  5. Step 5: Solve for x
    x = 22,678,437,945.58/206,396.59
  6. Step 6: Final answer
    x = 109,877.97

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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.