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Finding the Fourth Proportional to 271,397.91, 407,097.92 and 113,515.62

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Solution

The fourth proportional to 271,397.91, 407,097.92 and 113,515.62 is: 170,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,397.91 : 407,097.92 = 113,515.62 : x
  2. Step 2: Convert to fraction form
    271,397.91/407,097.92 = 113,515.62/x
  3. Step 3: Cross multiply
    271,397.91x = 407,097.92 × 113,515.62
  4. Step 4: Simplify right side
    271,397.91x = 46,211,972,789.51
  5. Step 5: Solve for x
    x = 46,211,972,789.51/271,397.91
  6. Step 6: Final answer
    x = 170,273.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.