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Finding the Fourth Proportional to 365,280.98, 504,086.22 and 204,135.93

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Solution

The fourth proportional to 365,280.98, 504,086.22 and 204,135.93 is: 281,706.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,280.98 : 504,086.22 = 204,135.93 : x
  2. Step 2: Convert to fraction form
    365,280.98/504,086.22 = 204,135.93/x
  3. Step 3: Cross multiply
    365,280.98x = 504,086.22 × 204,135.93
  4. Step 4: Simplify right side
    365,280.98x = 102,902,109,319.89
  5. Step 5: Solve for x
    x = 102,902,109,319.89/365,280.98
  6. Step 6: Final answer
    x = 281,706.73

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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.