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Finding the Fourth Proportional to 271,745.60, 407,715.60 and 114,022.40

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Solution

The fourth proportional to 271,745.60, 407,715.60 and 114,022.40 is: 171,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,745.60 : 407,715.60 = 114,022.40 : x
  2. Step 2: Convert to fraction form
    271,745.60/407,715.60 = 114,022.40/x
  3. Step 3: Cross multiply
    271,745.60x = 407,715.60 × 114,022.40
  4. Step 4: Simplify right side
    271,745.60x = 46,488,711,229.44
  5. Step 5: Solve for x
    x = 46,488,711,229.44/271,745.60
  6. Step 6: Final answer
    x = 171,074.38

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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.