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Finding the Fourth Proportional to 356,298.14, 491,691.49 and 195,158.95

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Solution

The fourth proportional to 356,298.14, 491,691.49 and 195,158.95 is: 269,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,298.14 : 491,691.49 = 195,158.95 : x
  2. Step 2: Convert to fraction form
    356,298.14/491,691.49 = 195,158.95/x
  3. Step 3: Cross multiply
    356,298.14x = 491,691.49 × 195,158.95
  4. Step 4: Simplify right side
    356,298.14x = 95,957,993,195.21
  5. Step 5: Solve for x
    x = 95,957,993,195.21/356,298.14
  6. Step 6: Final answer
    x = 269,319.38

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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.