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Finding the Fourth Proportional to 358,081.16, 494,142.42 and 196,952.68

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Solution

The fourth proportional to 358,081.16, 494,142.42 and 196,952.68 is: 271,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,081.16 : 494,142.42 = 196,952.68 : x
  2. Step 2: Convert to fraction form
    358,081.16/494,142.42 = 196,952.68/x
  3. Step 3: Cross multiply
    358,081.16x = 494,142.42 × 196,952.68
  4. Step 4: Simplify right side
    358,081.16x = 97,322,673,920.69
  5. Step 5: Solve for x
    x = 97,322,673,920.69/358,081.16
  6. Step 6: Final answer
    x = 271,789.43

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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.