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Finding the Fourth Proportional to 222,526.88, 306,984.16 and 197,059.20

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Solution

The fourth proportional to 222,526.88, 306,984.16 and 197,059.20 is: 271,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,526.88 : 306,984.16 = 197,059.20 : x
  2. Step 2: Convert to fraction form
    222,526.88/306,984.16 = 197,059.20/x
  3. Step 3: Cross multiply
    222,526.88x = 306,984.16 × 197,059.20
  4. Step 4: Simplify right side
    222,526.88x = 60,494,052,982.27
  5. Step 5: Solve for x
    x = 60,494,052,982.27/222,526.88
  6. Step 6: Final answer
    x = 271,850.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.