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Finding the Fourth Proportional to 271,059.15, 406,608.71 and 71,378.16

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Solution

The fourth proportional to 271,059.15, 406,608.71 and 71,378.16 is: 107,072.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,059.15 : 406,608.71 = 71,378.16 : x
  2. Step 2: Convert to fraction form
    271,059.15/406,608.71 = 71,378.16/x
  3. Step 3: Cross multiply
    271,059.15x = 406,608.71 × 71,378.16
  4. Step 4: Simplify right side
    271,059.15x = 29,022,979,678.10
  5. Step 5: Solve for x
    x = 29,022,979,678.10/271,059.15
  6. Step 6: Final answer
    x = 107,072.49

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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.