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Finding the Fourth Proportional to 271,753.37, 407,236.39 and 153,172.40

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Solution

The fourth proportional to 271,753.37, 407,236.39 and 153,172.40 is: 229,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,753.37 : 407,236.39 = 153,172.40 : x
  2. Step 2: Convert to fraction form
    271,753.37/407,236.39 = 153,172.40/x
  3. Step 3: Cross multiply
    271,753.37x = 407,236.39 × 153,172.40
  4. Step 4: Simplify right side
    271,753.37x = 62,377,375,223.64
  5. Step 5: Solve for x
    x = 62,377,375,223.64/271,753.37
  6. Step 6: Final answer
    x = 229,536.71

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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.