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Finding the Fourth Proportional to 271,387.26, 407,025.54 and 102,849.54

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Solution

The fourth proportional to 271,387.26, 407,025.54 and 102,849.54 is: 154,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,387.26 : 407,025.54 = 102,849.54 : x
  2. Step 2: Convert to fraction form
    271,387.26/407,025.54 = 102,849.54/x
  3. Step 3: Cross multiply
    271,387.26x = 407,025.54 × 102,849.54
  4. Step 4: Simplify right side
    271,387.26x = 41,862,389,557.25
  5. Step 5: Solve for x
    x = 41,862,389,557.25/271,387.26
  6. Step 6: Final answer
    x = 154,253.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.