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Finding the Fourth Proportional to 263,861.40, 395,792.10 and 106,008.60

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Solution

The fourth proportional to 263,861.40, 395,792.10 and 106,008.60 is: 159,012.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,861.40 : 395,792.10 = 106,008.60 : x
  2. Step 2: Convert to fraction form
    263,861.40/395,792.10 = 106,008.60/x
  3. Step 3: Cross multiply
    263,861.40x = 395,792.10 × 106,008.60
  4. Step 4: Simplify right side
    263,861.40x = 41,957,366,412.06
  5. Step 5: Solve for x
    x = 41,957,366,412.06/263,861.40
  6. Step 6: Final answer
    x = 159,012.90

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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.