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Finding the Fourth Proportional to 266,091.20, 398,164.80 and 196,107.20

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Solution

The fourth proportional to 266,091.20, 398,164.80 and 196,107.20 is: 293,444.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,091.20 : 398,164.80 = 196,107.20 : x
  2. Step 2: Convert to fraction form
    266,091.20/398,164.80 = 196,107.20/x
  3. Step 3: Cross multiply
    266,091.20x = 398,164.80 × 196,107.20
  4. Step 4: Simplify right side
    266,091.20x = 78,082,984,066.56
  5. Step 5: Solve for x
    x = 78,082,984,066.56/266,091.20
  6. Step 6: Final answer
    x = 293,444.44

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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.