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Finding the Fourth Proportional to 271,594.62, 407,396.16 and 103,070.43

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Solution

The fourth proportional to 271,594.62, 407,396.16 and 103,070.43 is: 154,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,594.62 : 407,396.16 = 103,070.43 : x
  2. Step 2: Convert to fraction form
    271,594.62/407,396.16 = 103,070.43/x
  3. Step 3: Cross multiply
    271,594.62x = 407,396.16 × 103,070.43
  4. Step 4: Simplify right side
    271,594.62x = 41,990,497,391.55
  5. Step 5: Solve for x
    x = 41,990,497,391.55/271,594.62
  6. Step 6: Final answer
    x = 154,607.25

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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.