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Finding the Fourth Proportional to 271,477.69, 374,649.22 and 164,026.96

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Solution

The fourth proportional to 271,477.69, 374,649.22 and 164,026.96 is: 226,363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,477.69 : 374,649.22 = 164,026.96 : x
  2. Step 2: Convert to fraction form
    271,477.69/374,649.22 = 164,026.96/x
  3. Step 3: Cross multiply
    271,477.69x = 374,649.22 × 164,026.96
  4. Step 4: Simplify right side
    271,477.69x = 61,452,571,891.38
  5. Step 5: Solve for x
    x = 61,452,571,891.38/271,477.69
  6. Step 6: Final answer
    x = 226,363.25

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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.