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Finding the Fourth Proportional to 264,033.60, 396,244.80 and 106,375.20

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Solution

The fourth proportional to 264,033.60, 396,244.80 and 106,375.20 is: 159,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,033.60 : 396,244.80 = 106,375.20 : x
  2. Step 2: Convert to fraction form
    264,033.60/396,244.80 = 106,375.20/x
  3. Step 3: Cross multiply
    264,033.60x = 396,244.80 × 106,375.20
  4. Step 4: Simplify right side
    264,033.60x = 42,150,619,848.96
  5. Step 5: Solve for x
    x = 42,150,619,848.96/264,033.60
  6. Step 6: Final answer
    x = 159,641.12

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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.