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Finding the Fourth Proportional to 271,404.60, 407,107.94 and 113,522.33

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Solution

The fourth proportional to 271,404.60, 407,107.94 and 113,522.33 is: 170,283.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,404.60 : 407,107.94 = 113,522.33 : x
  2. Step 2: Convert to fraction form
    271,404.60/407,107.94 = 113,522.33/x
  3. Step 3: Cross multiply
    271,404.60x = 407,107.94 × 113,522.33
  4. Step 4: Simplify right side
    271,404.60x = 46,215,839,307.15
  5. Step 5: Solve for x
    x = 46,215,839,307.15/271,404.60
  6. Step 6: Final answer
    x = 170,283.92

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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.