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Finding the Fourth Proportional to 271,505.44, 407,258.65 and 111,469.93

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Solution

The fourth proportional to 271,505.44, 407,258.65 and 111,469.93 is: 167,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,505.44 : 407,258.65 = 111,469.93 : x
  2. Step 2: Convert to fraction form
    271,505.44/407,258.65 = 111,469.93/x
  3. Step 3: Cross multiply
    271,505.44x = 407,258.65 × 111,469.93
  4. Step 4: Simplify right side
    271,505.44x = 45,397,093,207.39
  5. Step 5: Solve for x
    x = 45,397,093,207.39/271,505.44
  6. Step 6: Final answer
    x = 167,205.10

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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.