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Finding the Fourth Proportional to 206,374.20, 309,592.06 and 73,243.31

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Solution

The fourth proportional to 206,374.20, 309,592.06 and 73,243.31 is: 109,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,374.20 : 309,592.06 = 73,243.31 : x
  2. Step 2: Convert to fraction form
    206,374.20/309,592.06 = 73,243.31/x
  3. Step 3: Cross multiply
    206,374.20x = 309,592.06 × 73,243.31
  4. Step 4: Simplify right side
    206,374.20x = 22,675,548,414.23
  5. Step 5: Solve for x
    x = 22,675,548,414.23/206,374.20
  6. Step 6: Final answer
    x = 109,875.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.