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Finding the Fourth Proportional to 201,956.78, 302,942.85 and 75,583.71

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Solution

The fourth proportional to 201,956.78, 302,942.85 and 75,583.71 is: 113,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,956.78 : 302,942.85 = 75,583.71 : x
  2. Step 2: Convert to fraction form
    201,956.78/302,942.85 = 75,583.71/x
  3. Step 3: Cross multiply
    201,956.78x = 302,942.85 × 75,583.71
  4. Step 4: Simplify right side
    201,956.78x = 22,897,544,520.97
  5. Step 5: Solve for x
    x = 22,897,544,520.97/201,956.78
  6. Step 6: Final answer
    x = 113,378.44

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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.