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Finding the Fourth Proportional to 271,900.50, 407,937.42 and 114,086.58

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Solution

The fourth proportional to 271,900.50, 407,937.42 and 114,086.58 is: 171,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,900.50 : 407,937.42 = 114,086.58 : x
  2. Step 2: Convert to fraction form
    271,900.50/407,937.42 = 114,086.58/x
  3. Step 3: Cross multiply
    271,900.50x = 407,937.42 × 114,086.58
  4. Step 4: Simplify right side
    271,900.50x = 46,540,185,101.82
  5. Step 5: Solve for x
    x = 46,540,185,101.82/271,900.50
  6. Step 6: Final answer
    x = 171,166.24

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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.