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Finding the Fourth Proportional to 265,027.86, 365,873.94 and 204,462.54

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Solution

The fourth proportional to 265,027.86, 365,873.94 and 204,462.54 is: 282,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,027.86 : 365,873.94 = 204,462.54 : x
  2. Step 2: Convert to fraction form
    265,027.86/365,873.94 = 204,462.54/x
  3. Step 3: Cross multiply
    265,027.86x = 365,873.94 × 204,462.54
  4. Step 4: Simplify right side
    265,027.86x = 74,807,515,092.21
  5. Step 5: Solve for x
    x = 74,807,515,092.21/265,027.86
  6. Step 6: Final answer
    x = 282,262.83

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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.