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Finding the Fourth Proportional to 365,020.86, 503,723.46 and 203,878.14

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Solution

The fourth proportional to 365,020.86, 503,723.46 and 203,878.14 is: 281,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,020.86 : 503,723.46 = 203,878.14 : x
  2. Step 2: Convert to fraction form
    365,020.86/503,723.46 = 203,878.14/x
  3. Step 3: Cross multiply
    365,020.86x = 503,723.46 × 203,878.14
  4. Step 4: Simplify right side
    365,020.86x = 102,698,202,099.16
  5. Step 5: Solve for x
    x = 102,698,202,099.16/365,020.86
  6. Step 6: Final answer
    x = 281,348.86

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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.