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Finding the Fourth Proportional to 266,048.70, 398,101.05 and 196,064.70

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Solution

The fourth proportional to 266,048.70, 398,101.05 and 196,064.70 is: 293,380.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,048.70 : 398,101.05 = 196,064.70 : x
  2. Step 2: Convert to fraction form
    266,048.70/398,101.05 = 196,064.70/x
  3. Step 3: Cross multiply
    266,048.70x = 398,101.05 × 196,064.70
  4. Step 4: Simplify right side
    266,048.70x = 78,053,562,937.94
  5. Step 5: Solve for x
    x = 78,053,562,937.94/266,048.70
  6. Step 6: Final answer
    x = 293,380.73

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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.