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Finding the Fourth Proportional to 203,492.44, 280,543.26 and 171,605.44

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Solution

The fourth proportional to 203,492.44, 280,543.26 and 171,605.44 is: 236,582.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,492.44 : 280,543.26 = 171,605.44 : x
  2. Step 2: Convert to fraction form
    203,492.44/280,543.26 = 171,605.44/x
  3. Step 3: Cross multiply
    203,492.44x = 280,543.26 × 171,605.44
  4. Step 4: Simplify right side
    203,492.44x = 48,142,749,571.33
  5. Step 5: Solve for x
    x = 48,142,749,571.33/203,492.44
  6. Step 6: Final answer
    x = 236,582.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.