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Finding the Fourth Proportional to 289,793.98, 399,767.43 and 193,164.22

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Solution

The fourth proportional to 289,793.98, 399,767.43 and 193,164.22 is: 266,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.98 : 399,767.43 = 193,164.22 : x
  2. Step 2: Convert to fraction form
    289,793.98/399,767.43 = 193,164.22/x
  3. Step 3: Cross multiply
    289,793.98x = 399,767.43 × 193,164.22
  4. Step 4: Simplify right side
    289,793.98x = 77,220,763,797.35
  5. Step 5: Solve for x
    x = 77,220,763,797.35/289,793.98
  6. Step 6: Final answer
    x = 266,467.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.