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Finding the Fourth Proportional to 271,900.32, 407,794.44 and 103,361.52

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Solution

The fourth proportional to 271,900.32, 407,794.44 and 103,361.52 is: 155,020.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,900.32 : 407,794.44 = 103,361.52 : x
  2. Step 2: Convert to fraction form
    271,900.32/407,794.44 = 103,361.52/x
  3. Step 3: Cross multiply
    271,900.32x = 407,794.44 × 103,361.52
  4. Step 4: Simplify right side
    271,900.32x = 42,150,253,165.95
  5. Step 5: Solve for x
    x = 42,150,253,165.95/271,900.32
  6. Step 6: Final answer
    x = 155,020.98

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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.