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Finding the Fourth Proportional to 271,511.96, 407,247.44 and 111,544.32

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Solution

The fourth proportional to 271,511.96, 407,247.44 and 111,544.32 is: 167,308.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,511.96 : 407,247.44 = 111,544.32 : x
  2. Step 2: Convert to fraction form
    271,511.96/407,247.44 = 111,544.32/x
  3. Step 3: Cross multiply
    271,511.96x = 407,247.44 × 111,544.32
  4. Step 4: Simplify right side
    271,511.96x = 45,426,138,766.54
  5. Step 5: Solve for x
    x = 45,426,138,766.54/271,511.96
  6. Step 6: Final answer
    x = 167,308.06

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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.