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Finding the Fourth Proportional to 232,212.80, 347,858.40 and 133,601.60

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Solution

The fourth proportional to 232,212.80, 347,858.40 and 133,601.60 is: 200,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,212.80 : 347,858.40 = 133,601.60 : x
  2. Step 2: Convert to fraction form
    232,212.80/347,858.40 = 133,601.60/x
  3. Step 3: Cross multiply
    232,212.80x = 347,858.40 × 133,601.60
  4. Step 4: Simplify right side
    232,212.80x = 46,474,438,813.44
  5. Step 5: Solve for x
    x = 46,474,438,813.44/232,212.80
  6. Step 6: Final answer
    x = 200,137.28

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1.5x scale

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.