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Finding the Fourth Proportional to 296,082.55, 444,119.72 and 71,441.11

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Solution

The fourth proportional to 296,082.55, 444,119.72 and 71,441.11 is: 107,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,082.55 : 444,119.72 = 71,441.11 : x
  2. Step 2: Convert to fraction form
    296,082.55/444,119.72 = 71,441.11/x
  3. Step 3: Cross multiply
    296,082.55x = 444,119.72 × 71,441.11
  4. Step 4: Simplify right side
    296,082.55x = 31,728,405,769.69
  5. Step 5: Solve for x
    x = 31,728,405,769.69/296,082.55
  6. Step 6: Final answer
    x = 107,160.67

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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.