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Finding the Fourth Proportional to 263,855.40, 395,783.10 and 106,002.60

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Solution

The fourth proportional to 263,855.40, 395,783.10 and 106,002.60 is: 159,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,855.40 : 395,783.10 = 106,002.60 : x
  2. Step 2: Convert to fraction form
    263,855.40/395,783.10 = 106,002.60/x
  3. Step 3: Cross multiply
    263,855.40x = 395,783.10 × 106,002.60
  4. Step 4: Simplify right side
    263,855.40x = 41,954,037,636.06
  5. Step 5: Solve for x
    x = 41,954,037,636.06/263,855.40
  6. Step 6: Final answer
    x = 159,003.90

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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.