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Finding the Fourth Proportional to 264,694.95, 396,819.20 and 114,822.34

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Solution

The fourth proportional to 264,694.95, 396,819.20 and 114,822.34 is: 172,136.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,694.95 : 396,819.20 = 114,822.34 : x
  2. Step 2: Convert to fraction form
    264,694.95/396,819.20 = 114,822.34/x
  3. Step 3: Cross multiply
    264,694.95x = 396,819.20 × 114,822.34
  4. Step 4: Simplify right side
    264,694.95x = 45,563,706,542.72
  5. Step 5: Solve for x
    x = 45,563,706,542.72/264,694.95
  6. Step 6: Final answer
    x = 172,136.67

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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.