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Finding the Fourth Proportional to 264,208.80, 396,364.40 and 132,880.80

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Solution

The fourth proportional to 264,208.80, 396,364.40 and 132,880.80 is: 199,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,208.80 : 396,364.40 = 132,880.80 : x
  2. Step 2: Convert to fraction form
    264,208.80/396,364.40 = 132,880.80/x
  3. Step 3: Cross multiply
    264,208.80x = 396,364.40 × 132,880.80
  4. Step 4: Simplify right side
    264,208.80x = 52,669,218,563.52
  5. Step 5: Solve for x
    x = 52,669,218,563.52/264,208.80
  6. Step 6: Final answer
    x = 199,346.95

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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.