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Finding the Fourth Proportional to 264,429.60, 396,871.20 and 106,771.20

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Solution

The fourth proportional to 264,429.60, 396,871.20 and 106,771.20 is: 160,248.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,429.60 : 396,871.20 = 106,771.20 : x
  2. Step 2: Convert to fraction form
    264,429.60/396,871.20 = 106,771.20/x
  3. Step 3: Cross multiply
    264,429.60x = 396,871.20 × 106,771.20
  4. Step 4: Simplify right side
    264,429.60x = 42,374,414,269.44
  5. Step 5: Solve for x
    x = 42,374,414,269.44/264,429.60
  6. Step 6: Final answer
    x = 160,248.38

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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.