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Finding the Fourth Proportional to 271,398.85, 407,099.32 and 113,516.55

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Solution

The fourth proportional to 271,398.85, 407,099.32 and 113,516.55 is: 170,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,398.85 : 407,099.32 = 113,516.55 : x
  2. Step 2: Convert to fraction form
    271,398.85/407,099.32 = 113,516.55/x
  3. Step 3: Cross multiply
    271,398.85x = 407,099.32 × 113,516.55
  4. Step 4: Simplify right side
    271,398.85x = 46,212,511,615.29
  5. Step 5: Solve for x
    x = 46,212,511,615.29/271,398.85
  6. Step 6: Final answer
    x = 170,275.27

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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.