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Finding the Fourth Proportional to 264,815.69, 397,098.63 and 96,217.11

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Solution

The fourth proportional to 264,815.69, 397,098.63 and 96,217.11 is: 144,280.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,815.69 : 397,098.63 = 96,217.11 : x
  2. Step 2: Convert to fraction form
    264,815.69/397,098.63 = 96,217.11/x
  3. Step 3: Cross multiply
    264,815.69x = 397,098.63 × 96,217.11
  4. Step 4: Simplify right side
    264,815.69x = 38,207,682,563.56
  5. Step 5: Solve for x
    x = 38,207,682,563.56/264,815.69
  6. Step 6: Final answer
    x = 144,280.29

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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.