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Finding the Fourth Proportional to 271,933.38, 407,941.56 and 138,741.03

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Solution

The fourth proportional to 271,933.38, 407,941.56 and 138,741.03 is: 208,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,933.38 : 407,941.56 = 138,741.03 : x
  2. Step 2: Convert to fraction form
    271,933.38/407,941.56 = 138,741.03/x
  3. Step 3: Cross multiply
    271,933.38x = 407,941.56 × 138,741.03
  4. Step 4: Simplify right side
    271,933.38x = 56,598,232,214.21
  5. Step 5: Solve for x
    x = 56,598,232,214.21/271,933.38
  6. Step 6: Final answer
    x = 208,132.71

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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.