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Finding the Fourth Proportional to 203,743.80, 305,615.70 and 151,255.80

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Solution

The fourth proportional to 203,743.80, 305,615.70 and 151,255.80 is: 226,883.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,743.80 : 305,615.70 = 151,255.80 : x
  2. Step 2: Convert to fraction form
    203,743.80/305,615.70 = 151,255.80/x
  3. Step 3: Cross multiply
    203,743.80x = 305,615.70 × 151,255.80
  4. Step 4: Simplify right side
    203,743.80x = 46,226,147,196.06
  5. Step 5: Solve for x
    x = 46,226,147,196.06/203,743.80
  6. Step 6: Final answer
    x = 226,883.70

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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.