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Finding the Fourth Proportional to 272,706.30, 409,059.45 and 154,608.30

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Solution

The fourth proportional to 272,706.30, 409,059.45 and 154,608.30 is: 231,912.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,706.30 : 409,059.45 = 154,608.30 : x
  2. Step 2: Convert to fraction form
    272,706.30/409,059.45 = 154,608.30/x
  3. Step 3: Cross multiply
    272,706.30x = 409,059.45 × 154,608.30
  4. Step 4: Simplify right side
    272,706.30x = 63,243,986,163.44
  5. Step 5: Solve for x
    x = 63,243,986,163.44/272,706.30
  6. Step 6: Final answer
    x = 231,912.45

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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.