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Finding the Fourth Proportional to 363,123, 501,109.74 and 204,147

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Solution

The fourth proportional to 363,123, 501,109.74 and 204,147 is: 281,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,123 : 501,109.74 = 204,147 : x
  2. Step 2: Convert to fraction form
    363,123/501,109.74 = 204,147/x
  3. Step 3: Cross multiply
    363,123x = 501,109.74 × 204,147
  4. Step 4: Simplify right side
    363,123x = 102,300,050,091.78
  5. Step 5: Solve for x
    x = 102,300,050,091.78/363,123
  6. Step 6: Final answer
    x = 281,722.86

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