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Finding the Fourth Proportional to 296,762.14, 445,163.76 and 119,269.30

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Solution

The fourth proportional to 296,762.14, 445,163.76 and 119,269.30 is: 178,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,762.14 : 445,163.76 = 119,269.30 : x
  2. Step 2: Convert to fraction form
    296,762.14/445,163.76 = 119,269.30/x
  3. Step 3: Cross multiply
    296,762.14x = 445,163.76 × 119,269.30
  4. Step 4: Simplify right side
    296,762.14x = 53,094,370,040.57
  5. Step 5: Solve for x
    x = 53,094,370,040.57/296,762.14
  6. Step 6: Final answer
    x = 178,912.21

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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.