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Finding the Fourth Proportional to 264,847.40, 396,936.30 and 106,987.40

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Solution

The fourth proportional to 264,847.40, 396,936.30 and 106,987.40 is: 160,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,847.40 : 396,936.30 = 106,987.40 : x
  2. Step 2: Convert to fraction form
    264,847.40/396,936.30 = 106,987.40/x
  3. Step 3: Cross multiply
    264,847.40x = 396,936.30 × 106,987.40
  4. Step 4: Simplify right side
    264,847.40x = 42,467,182,702.62
  5. Step 5: Solve for x
    x = 42,467,182,702.62/264,847.40
  6. Step 6: Final answer
    x = 160,345.85

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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.