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Finding the Fourth Proportional to 272,872.20, 409,353.10 and 85,838.60

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Solution

The fourth proportional to 272,872.20, 409,353.10 and 85,838.60 is: 128,771.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,872.20 : 409,353.10 = 85,838.60 : x
  2. Step 2: Convert to fraction form
    272,872.20/409,353.10 = 85,838.60/x
  3. Step 3: Cross multiply
    272,872.20x = 409,353.10 × 85,838.60
  4. Step 4: Simplify right side
    272,872.20x = 35,138,297,009.66
  5. Step 5: Solve for x
    x = 35,138,297,009.66/272,872.20
  6. Step 6: Final answer
    x = 128,771.99

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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.