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Finding the Fourth Proportional to 271,503.93, 407,256.40 and 111,468.43

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Solution

The fourth proportional to 271,503.93, 407,256.40 and 111,468.43 is: 167,202.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,503.93 : 407,256.40 = 111,468.43 : x
  2. Step 2: Convert to fraction form
    271,503.93/407,256.40 = 111,468.43/x
  3. Step 3: Cross multiply
    271,503.93x = 407,256.40 × 111,468.43
  4. Step 4: Simplify right side
    271,503.93x = 45,396,231,515.45
  5. Step 5: Solve for x
    x = 45,396,231,515.45/271,503.93
  6. Step 6: Final answer
    x = 167,202.85

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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.