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Finding the Fourth Proportional to 356,108.82, 491,457.45 and 203,150.39

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Solution

The fourth proportional to 356,108.82, 491,457.45 and 203,150.39 is: 280,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,108.82 : 491,457.45 = 203,150.39 : x
  2. Step 2: Convert to fraction form
    356,108.82/491,457.45 = 203,150.39/x
  3. Step 3: Cross multiply
    356,108.82x = 491,457.45 × 203,150.39
  4. Step 4: Simplify right side
    356,108.82x = 99,839,770,178.62
  5. Step 5: Solve for x
    x = 99,839,770,178.62/356,108.82
  6. Step 6: Final answer
    x = 280,363.09

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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.