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Finding the Fourth Proportional to 271,640.34, 374,823.72 and 150,782.58

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Solution

The fourth proportional to 271,640.34, 374,823.72 and 150,782.58 is: 208,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,640.34 : 374,823.72 = 150,782.58 : x
  2. Step 2: Convert to fraction form
    271,640.34/374,823.72 = 150,782.58/x
  3. Step 3: Cross multiply
    271,640.34x = 374,823.72 × 150,782.58
  4. Step 4: Simplify right side
    271,640.34x = 56,516,887,546.80
  5. Step 5: Solve for x
    x = 56,516,887,546.80/271,640.34
  6. Step 6: Final answer
    x = 208,057.79

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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.