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Finding the Fourth Proportional to 365,100.75, 503,793.84 and 203,986.29

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Solution

The fourth proportional to 365,100.75, 503,793.84 and 203,986.29 is: 281,475.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,100.75 : 503,793.84 = 203,986.29 : x
  2. Step 2: Convert to fraction form
    365,100.75/503,793.84 = 203,986.29/x
  3. Step 3: Cross multiply
    365,100.75x = 503,793.84 × 203,986.29
  4. Step 4: Simplify right side
    365,100.75x = 102,767,036,346.45
  5. Step 5: Solve for x
    x = 102,767,036,346.45/365,100.75
  6. Step 6: Final answer
    x = 281,475.83

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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.