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Finding the Fourth Proportional to 264,408.60, 396,839.70 and 106,750.20

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Solution

The fourth proportional to 264,408.60, 396,839.70 and 106,750.20 is: 160,216.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,408.60 : 396,839.70 = 106,750.20 : x
  2. Step 2: Convert to fraction form
    264,408.60/396,839.70 = 106,750.20/x
  3. Step 3: Cross multiply
    264,408.60x = 396,839.70 × 106,750.20
  4. Step 4: Simplify right side
    264,408.60x = 42,362,717,342.94
  5. Step 5: Solve for x
    x = 42,362,717,342.94/264,408.60
  6. Step 6: Final answer
    x = 160,216.87

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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.