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Finding the Fourth Proportional to 206,586.48, 309,883.08 and 64,435.50

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Solution

The fourth proportional to 206,586.48, 309,883.08 and 64,435.50 is: 96,654.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,586.48 : 309,883.08 = 64,435.50 : x
  2. Step 2: Convert to fraction form
    206,586.48/309,883.08 = 64,435.50/x
  3. Step 3: Cross multiply
    206,586.48x = 309,883.08 × 64,435.50
  4. Step 4: Simplify right side
    206,586.48x = 19,967,471,201.34
  5. Step 5: Solve for x
    x = 19,967,471,201.34/206,586.48
  6. Step 6: Final answer
    x = 96,654.30

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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.