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Finding the Fourth Proportional to 203,543.40, 305,265.32 and 159,059.82

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Solution

The fourth proportional to 203,543.40, 305,265.32 and 159,059.82 is: 238,550.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,543.40 : 305,265.32 = 159,059.82 : x
  2. Step 2: Convert to fraction form
    203,543.40/305,265.32 = 159,059.82/x
  3. Step 3: Cross multiply
    203,543.40x = 305,265.32 × 159,059.82
  4. Step 4: Simplify right side
    203,543.40x = 48,555,446,851.44
  5. Step 5: Solve for x
    x = 48,555,446,851.44/203,543.40
  6. Step 6: Final answer
    x = 238,550.83

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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.