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Finding the Fourth Proportional to 271,865.08, 375,203.24 and 164,494.32

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Solution

The fourth proportional to 271,865.08, 375,203.24 and 164,494.32 is: 227,019.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,865.08 : 375,203.24 = 164,494.32 : x
  2. Step 2: Convert to fraction form
    271,865.08/375,203.24 = 164,494.32/x
  3. Step 3: Cross multiply
    271,865.08x = 375,203.24 × 164,494.32
  4. Step 4: Simplify right side
    271,865.08x = 61,718,801,825.60
  5. Step 5: Solve for x
    x = 61,718,801,825.60/271,865.08
  6. Step 6: Final answer
    x = 227,019.97

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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.