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Finding the Fourth Proportional to 271,004.89, 406,426.32 and 81,414.55

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Solution

The fourth proportional to 271,004.89, 406,426.32 and 81,414.55 is: 122,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,004.89 : 406,426.32 = 81,414.55 : x
  2. Step 2: Convert to fraction form
    271,004.89/406,426.32 = 81,414.55/x
  3. Step 3: Cross multiply
    271,004.89x = 406,426.32 × 81,414.55
  4. Step 4: Simplify right side
    271,004.89x = 33,089,015,950.96
  5. Step 5: Solve for x
    x = 33,089,015,950.96/271,004.89
  6. Step 6: Final answer
    x = 122,097.49

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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.