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Finding the Fourth Proportional to 264,182.40, 396,273.60 and 106,329.60

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Solution

The fourth proportional to 264,182.40, 396,273.60 and 106,329.60 is: 159,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,182.40 : 396,273.60 = 106,329.60 : x
  2. Step 2: Convert to fraction form
    264,182.40/396,273.60 = 106,329.60/x
  3. Step 3: Cross multiply
    264,182.40x = 396,273.60 × 106,329.60
  4. Step 4: Simplify right side
    264,182.40x = 42,135,613,378.56
  5. Step 5: Solve for x
    x = 42,135,613,378.56/264,182.40
  6. Step 6: Final answer
    x = 159,494.40

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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.