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Finding the Fourth Proportional to 311,334.60, 467,067.54 and 100,956.18

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Solution

The fourth proportional to 311,334.60, 467,067.54 and 100,956.18 is: 151,455.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,334.60 : 467,067.54 = 100,956.18 : x
  2. Step 2: Convert to fraction form
    311,334.60/467,067.54 = 100,956.18/x
  3. Step 3: Cross multiply
    311,334.60x = 467,067.54 × 100,956.18
  4. Step 4: Simplify right side
    311,334.60x = 47,153,354,640.40
  5. Step 5: Solve for x
    x = 47,153,354,640.40/311,334.60
  6. Step 6: Final answer
    x = 151,455.56

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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.