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Finding the Fourth Proportional to 271,994.22, 375,244.47 and 157,251.78

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Solution

The fourth proportional to 271,994.22, 375,244.47 and 157,251.78 is: 216,945.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,994.22 : 375,244.47 = 157,251.78 : x
  2. Step 2: Convert to fraction form
    271,994.22/375,244.47 = 157,251.78/x
  3. Step 3: Cross multiply
    271,994.22x = 375,244.47 × 157,251.78
  4. Step 4: Simplify right side
    271,994.22x = 59,007,860,842.66
  5. Step 5: Solve for x
    x = 59,007,860,842.66/271,994.22
  6. Step 6: Final answer
    x = 216,945.27

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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.