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Finding the Fourth Proportional to 264,082.72, 396,096 and 74,538.40

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Solution

The fourth proportional to 264,082.72, 396,096 and 74,538.40 is: 111,799.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,082.72 : 396,096 = 74,538.40 : x
  2. Step 2: Convert to fraction form
    264,082.72/396,096 = 74,538.40/x
  3. Step 3: Cross multiply
    264,082.72x = 396,096 × 74,538.40
  4. Step 4: Simplify right side
    264,082.72x = 29,524,362,086.40
  5. Step 5: Solve for x
    x = 29,524,362,086.40/264,082.72
  6. Step 6: Final answer
    x = 111,799.67

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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.