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Finding the Fourth Proportional to 271,056, 374,057.28 and 151,824

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Solution

The fourth proportional to 271,056, 374,057.28 and 151,824 is: 209,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,056 : 374,057.28 = 151,824 : x
  2. Step 2: Convert to fraction form
    271,056/374,057.28 = 151,824/x
  3. Step 3: Cross multiply
    271,056x = 374,057.28 × 151,824
  4. Step 4: Simplify right side
    271,056x = 56,790,872,478.72
  5. Step 5: Solve for x
    x = 56,790,872,478.72/271,056
  6. Step 6: Final answer
    x = 209,517.12

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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.