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Finding the Fourth Proportional to 197,137.10, 295,701.38 and 54,978.60

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Solution

The fourth proportional to 197,137.10, 295,701.38 and 54,978.60 is: 82,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,137.10 : 295,701.38 = 54,978.60 : x
  2. Step 2: Convert to fraction form
    197,137.10/295,701.38 = 54,978.60/x
  3. Step 3: Cross multiply
    197,137.10x = 295,701.38 × 54,978.60
  4. Step 4: Simplify right side
    197,137.10x = 16,257,247,890.47
  5. Step 5: Solve for x
    x = 16,257,247,890.47/197,137.10
  6. Step 6: Final answer
    x = 82,466.71

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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.