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Finding the Fourth Proportional to 271,224, 406,836 and 105,012

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Solution

The fourth proportional to 271,224, 406,836 and 105,012 is: 157,518

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,224 : 406,836 = 105,012 : x
  2. Step 2: Convert to fraction form
    271,224/406,836 = 105,012/x
  3. Step 3: Cross multiply
    271,224x = 406,836 × 105,012
  4. Step 4: Simplify right side
    271,224x = 42,722,662,032
  5. Step 5: Solve for x
    x = 42,722,662,032/271,224
  6. Step 6: Final answer
    x = 157,518

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.