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Finding the Fourth Proportional to 365,109.56, 503,833.20 and 203,932.52

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Solution

The fourth proportional to 365,109.56, 503,833.20 and 203,932.52 is: 281,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,109.56 : 503,833.20 = 203,932.52 : x
  2. Step 2: Convert to fraction form
    365,109.56/503,833.20 = 203,932.52/x
  3. Step 3: Cross multiply
    365,109.56x = 503,833.20 × 203,932.52
  4. Step 4: Simplify right side
    365,109.56x = 102,747,974,135.66
  5. Step 5: Solve for x
    x = 102,747,974,135.66/365,109.56
  6. Step 6: Final answer
    x = 281,416.83

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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.