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Finding the Fourth Proportional to 271,759.42, 407,195.24 and 165,175.97

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Solution

The fourth proportional to 271,759.42, 407,195.24 and 165,175.97 is: 247,494.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,759.42 : 407,195.24 = 165,175.97 : x
  2. Step 2: Convert to fraction form
    271,759.42/407,195.24 = 165,175.97/x
  3. Step 3: Cross multiply
    271,759.42x = 407,195.24 × 165,175.97
  4. Step 4: Simplify right side
    271,759.42x = 67,258,868,746.38
  5. Step 5: Solve for x
    x = 67,258,868,746.38/271,759.42
  6. Step 6: Final answer
    x = 247,494.16

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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.