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Finding the Fourth Proportional to 206,342.89, 309,558.89 and 64,185.46

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Solution

The fourth proportional to 206,342.89, 309,558.89 and 64,185.46 is: 96,292.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,342.89 : 309,558.89 = 64,185.46 : x
  2. Step 2: Convert to fraction form
    206,342.89/309,558.89 = 64,185.46/x
  3. Step 3: Cross multiply
    206,342.89x = 309,558.89 × 64,185.46
  4. Step 4: Simplify right side
    206,342.89x = 19,869,179,138.31
  5. Step 5: Solve for x
    x = 19,869,179,138.31/206,342.89
  6. Step 6: Final answer
    x = 96,292.05

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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.