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Finding the Fourth Proportional to 197,276.31, 295,958.21 and 57,024.27

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Solution

The fourth proportional to 197,276.31, 295,958.21 and 57,024.27 is: 85,549.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,276.31 : 295,958.21 = 57,024.27 : x
  2. Step 2: Convert to fraction form
    197,276.31/295,958.21 = 57,024.27/x
  3. Step 3: Cross multiply
    197,276.31x = 295,958.21 × 57,024.27
  4. Step 4: Simplify right side
    197,276.31x = 16,876,800,590.64
  5. Step 5: Solve for x
    x = 16,876,800,590.64/197,276.31
  6. Step 6: Final answer
    x = 85,549.05

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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.