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Finding the Fourth Proportional to 196,800.80, 295,201.20 and 84,461.90

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Solution

The fourth proportional to 196,800.80, 295,201.20 and 84,461.90 is: 126,692.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,800.80 : 295,201.20 = 84,461.90 : x
  2. Step 2: Convert to fraction form
    196,800.80/295,201.20 = 84,461.90/x
  3. Step 3: Cross multiply
    196,800.80x = 295,201.20 × 84,461.90
  4. Step 4: Simplify right side
    196,800.80x = 24,933,254,234.28
  5. Step 5: Solve for x
    x = 24,933,254,234.28/196,800.80
  6. Step 6: Final answer
    x = 126,692.85

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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.