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Finding the Fourth Proportional to 271,503.41, 407,255.61 and 111,467.93

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Solution

The fourth proportional to 271,503.41, 407,255.61 and 111,467.93 is: 167,202.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,503.41 : 407,255.61 = 111,467.93 : x
  2. Step 2: Convert to fraction form
    271,503.41/407,255.61 = 111,467.93/x
  3. Step 3: Cross multiply
    271,503.41x = 407,255.61 × 111,467.93
  4. Step 4: Simplify right side
    271,503.41x = 45,395,937,791.31
  5. Step 5: Solve for x
    x = 45,395,937,791.31/271,503.41
  6. Step 6: Final answer
    x = 167,202.09

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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.