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Finding the Fourth Proportional to 271,106.95, 406,232.68 and 100,093.49

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Solution

The fourth proportional to 271,106.95, 406,232.68 and 100,093.49 is: 149,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,106.95 : 406,232.68 = 100,093.49 : x
  2. Step 2: Convert to fraction form
    271,106.95/406,232.68 = 100,093.49/x
  3. Step 3: Cross multiply
    271,106.95x = 406,232.68 × 100,093.49
  4. Step 4: Simplify right side
    271,106.95x = 40,661,246,693.25
  5. Step 5: Solve for x
    x = 40,661,246,693.25/271,106.95
  6. Step 6: Final answer
    x = 149,982.31

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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.