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Finding the Fourth Proportional to 271,771.92, 375,028.52 and 150,905.84

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Solution

The fourth proportional to 271,771.92, 375,028.52 and 150,905.84 is: 208,240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,771.92 : 375,028.52 = 150,905.84 : x
  2. Step 2: Convert to fraction form
    271,771.92/375,028.52 = 150,905.84/x
  3. Step 3: Cross multiply
    271,771.92x = 375,028.52 × 150,905.84
  4. Step 4: Simplify right side
    271,771.92x = 56,593,993,834.56
  5. Step 5: Solve for x
    x = 56,593,993,834.56/271,771.92
  6. Step 6: Final answer
    x = 208,240.77

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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.