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Finding the Fourth Proportional to 203,782.60, 305,904.30 and 157,241.80

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Solution

The fourth proportional to 203,782.60, 305,904.30 and 157,241.80 is: 236,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,782.60 : 305,904.30 = 157,241.80 : x
  2. Step 2: Convert to fraction form
    203,782.60/305,904.30 = 157,241.80/x
  3. Step 3: Cross multiply
    203,782.60x = 305,904.30 × 157,241.80
  4. Step 4: Simplify right side
    203,782.60x = 48,100,942,759.74
  5. Step 5: Solve for x
    x = 48,100,942,759.74/203,782.60
  6. Step 6: Final answer
    x = 236,040.48

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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.