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Finding the Fourth Proportional to 271,775.70, 407,469.15 and 121,893.30

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Solution

The fourth proportional to 271,775.70, 407,469.15 and 121,893.30 is: 182,752.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,775.70 : 407,469.15 = 121,893.30 : x
  2. Step 2: Convert to fraction form
    271,775.70/407,469.15 = 121,893.30/x
  3. Step 3: Cross multiply
    271,775.70x = 407,469.15 × 121,893.30
  4. Step 4: Simplify right side
    271,775.70x = 49,667,759,341.70
  5. Step 5: Solve for x
    x = 49,667,759,341.70/271,775.70
  6. Step 6: Final answer
    x = 182,752.76

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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.