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Finding the Fourth Proportional to 242,093.63, 363,198.76 and 75,881.63

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Solution

The fourth proportional to 242,093.63, 363,198.76 and 75,881.63 is: 113,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,093.63 : 363,198.76 = 75,881.63 : x
  2. Step 2: Convert to fraction form
    242,093.63/363,198.76 = 75,881.63/x
  3. Step 3: Cross multiply
    242,093.63x = 363,198.76 × 75,881.63
  4. Step 4: Simplify right side
    242,093.63x = 27,560,113,922.78
  5. Step 5: Solve for x
    x = 27,560,113,922.78/242,093.63
  6. Step 6: Final answer
    x = 113,840.72

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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.