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Finding the Fourth Proportional to 271,930.77, 407,791.26 and 103,362.48

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Solution

The fourth proportional to 271,930.77, 407,791.26 and 103,362.48 is: 155,003.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,930.77 : 407,791.26 = 103,362.48 : x
  2. Step 2: Convert to fraction form
    271,930.77/407,791.26 = 103,362.48/x
  3. Step 3: Cross multiply
    271,930.77x = 407,791.26 × 103,362.48
  4. Step 4: Simplify right side
    271,930.77x = 42,150,315,955.92
  5. Step 5: Solve for x
    x = 42,150,315,955.92/271,930.77
  6. Step 6: Final answer
    x = 155,003.85

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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.