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Finding the Fourth Proportional to 272,706.20, 409,059.30 and 85,717.70

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Solution

The fourth proportional to 272,706.20, 409,059.30 and 85,717.70 is: 128,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,706.20 : 409,059.30 = 85,717.70 : x
  2. Step 2: Convert to fraction form
    272,706.20/409,059.30 = 85,717.70/x
  3. Step 3: Cross multiply
    272,706.20x = 409,059.30 × 85,717.70
  4. Step 4: Simplify right side
    272,706.20x = 35,063,622,359.61
  5. Step 5: Solve for x
    x = 35,063,622,359.61/272,706.20
  6. Step 6: Final answer
    x = 128,576.55

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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.