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Finding the Fourth Proportional to 492,099.90, 738,149.85 and 159,675.90

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Solution

The fourth proportional to 492,099.90, 738,149.85 and 159,675.90 is: 239,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,099.90 : 738,149.85 = 159,675.90 : x
  2. Step 2: Convert to fraction form
    492,099.90/738,149.85 = 159,675.90/x
  3. Step 3: Cross multiply
    492,099.90x = 738,149.85 × 159,675.90
  4. Step 4: Simplify right side
    492,099.90x = 117,864,741,633.62
  5. Step 5: Solve for x
    x = 117,864,741,633.62/492,099.90
  6. Step 6: Final answer
    x = 239,513.85

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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.