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Finding the Fourth Proportional to 271,883.25, 407,911.55 and 114,069.33

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Solution

The fourth proportional to 271,883.25, 407,911.55 and 114,069.33 is: 171,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,883.25 : 407,911.55 = 114,069.33 : x
  2. Step 2: Convert to fraction form
    271,883.25/407,911.55 = 114,069.33/x
  3. Step 3: Cross multiply
    271,883.25x = 407,911.55 × 114,069.33
  4. Step 4: Simplify right side
    271,883.25x = 46,530,196,637.41
  5. Step 5: Solve for x
    x = 46,530,196,637.41/271,883.25
  6. Step 6: Final answer
    x = 171,140.36

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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.