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Finding the Fourth Proportional to 271,756.44, 407,479.14 and 113,851.80

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Solution

The fourth proportional to 271,756.44, 407,479.14 and 113,851.80 is: 170,712.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,756.44 : 407,479.14 = 113,851.80 : x
  2. Step 2: Convert to fraction form
    271,756.44/407,479.14 = 113,851.80/x
  3. Step 3: Cross multiply
    271,756.44x = 407,479.14 × 113,851.80
  4. Step 4: Simplify right side
    271,756.44x = 46,392,233,551.45
  5. Step 5: Solve for x
    x = 46,392,233,551.45/271,756.44
  6. Step 6: Final answer
    x = 170,712.55

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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.