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Finding the Fourth Proportional to 271,519.26, 407,437.66 and 113,734.50

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Solution

The fourth proportional to 271,519.26, 407,437.66 and 113,734.50 is: 170,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,519.26 : 407,437.66 = 113,734.50 : x
  2. Step 2: Convert to fraction form
    271,519.26/407,437.66 = 113,734.50/x
  3. Step 3: Cross multiply
    271,519.26x = 407,437.66 × 113,734.50
  4. Step 4: Simplify right side
    271,519.26x = 46,339,718,541.27
  5. Step 5: Solve for x
    x = 46,339,718,541.27/271,519.26
  6. Step 6: Final answer
    x = 170,668.26

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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.