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Finding the Fourth Proportional to 264,283.49, 396,474.41 and 120,199.67

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Solution

The fourth proportional to 264,283.49, 396,474.41 and 120,199.67 is: 180,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,283.49 : 396,474.41 = 120,199.67 : x
  2. Step 2: Convert to fraction form
    264,283.49/396,474.41 = 120,199.67/x
  3. Step 3: Cross multiply
    264,283.49x = 396,474.41 × 120,199.67
  4. Step 4: Simplify right side
    264,283.49x = 47,656,094,537.13
  5. Step 5: Solve for x
    x = 47,656,094,537.13/264,283.49
  6. Step 6: Final answer
    x = 180,321.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.