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Finding the Fourth Proportional to 271,722.60, 407,778.30 and 114,064.20

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Solution

The fourth proportional to 271,722.60, 407,778.30 and 114,064.20 is: 171,177.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,722.60 : 407,778.30 = 114,064.20 : x
  2. Step 2: Convert to fraction form
    271,722.60/407,778.30 = 114,064.20/x
  3. Step 3: Cross multiply
    271,722.60x = 407,778.30 × 114,064.20
  4. Step 4: Simplify right side
    271,722.60x = 46,512,905,566.86
  5. Step 5: Solve for x
    x = 46,512,905,566.86/271,722.60
  6. Step 6: Final answer
    x = 171,177.91

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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.