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Finding the Fourth Proportional to 271,764, 375,021.74 and 150,912.95

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Solution

The fourth proportional to 271,764, 375,021.74 and 150,912.95 is: 208,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,764 : 375,021.74 = 150,912.95 : x
  2. Step 2: Convert to fraction form
    271,764/375,021.74 = 150,912.95/x
  3. Step 3: Cross multiply
    271,764x = 375,021.74 × 150,912.95
  4. Step 4: Simplify right side
    271,764x = 56,595,634,467.86
  5. Step 5: Solve for x
    x = 56,595,634,467.86/271,764
  6. Step 6: Final answer
    x = 208,252.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.