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Finding the Fourth Proportional to 356,154.57, 491,493.33 and 195,019.47

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Solution

The fourth proportional to 356,154.57, 491,493.33 and 195,019.47 is: 269,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,154.57 : 491,493.33 = 195,019.47 : x
  2. Step 2: Convert to fraction form
    356,154.57/491,493.33 = 195,019.47/x
  3. Step 3: Cross multiply
    356,154.57x = 491,493.33 × 195,019.47
  4. Step 4: Simplify right side
    356,154.57x = 95,850,768,725.14
  5. Step 5: Solve for x
    x = 95,850,768,725.14/356,154.57
  6. Step 6: Final answer
    x = 269,126.88

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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.