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Finding the Fourth Proportional to 229,255.20, 343,105.20 and 201,261.60

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Solution

The fourth proportional to 229,255.20, 343,105.20 and 201,261.60 is: 301,209.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,255.20 : 343,105.20 = 201,261.60 : x
  2. Step 2: Convert to fraction form
    229,255.20/343,105.20 = 201,261.60/x
  3. Step 3: Cross multiply
    229,255.20x = 343,105.20 × 201,261.60
  4. Step 4: Simplify right side
    229,255.20x = 69,053,901,520.32
  5. Step 5: Solve for x
    x = 69,053,901,520.32/229,255.20
  6. Step 6: Final answer
    x = 301,209.75

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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.