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Finding the Fourth Proportional to 193,893.70, 290,847.04 and 53,640.58

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Solution

The fourth proportional to 193,893.70, 290,847.04 and 53,640.58 is: 80,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,893.70 : 290,847.04 = 53,640.58 : x
  2. Step 2: Convert to fraction form
    193,893.70/290,847.04 = 53,640.58/x
  3. Step 3: Cross multiply
    193,893.70x = 290,847.04 × 53,640.58
  4. Step 4: Simplify right side
    193,893.70x = 15,601,203,916.88
  5. Step 5: Solve for x
    x = 15,601,203,916.88/193,893.70
  6. Step 6: Final answer
    x = 80,462.67

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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.