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Finding the Fourth Proportional to 271,782.45, 407,258.01 and 113,924.79

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Solution

The fourth proportional to 271,782.45, 407,258.01 and 113,924.79 is: 170,712.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,782.45 : 407,258.01 = 113,924.79 : x
  2. Step 2: Convert to fraction form
    271,782.45/407,258.01 = 113,924.79/x
  3. Step 3: Cross multiply
    271,782.45x = 407,258.01 × 113,924.79
  4. Step 4: Simplify right side
    271,782.45x = 46,396,783,265.07
  5. Step 5: Solve for x
    x = 46,396,783,265.07/271,782.45
  6. Step 6: Final answer
    x = 170,712.95

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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.