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Finding the Fourth Proportional to 264,879.78, 365,524.03 and 144,021.17

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Solution

The fourth proportional to 264,879.78, 365,524.03 and 144,021.17 is: 198,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,879.78 : 365,524.03 = 144,021.17 : x
  2. Step 2: Convert to fraction form
    264,879.78/365,524.03 = 144,021.17/x
  3. Step 3: Cross multiply
    264,879.78x = 365,524.03 × 144,021.17
  4. Step 4: Simplify right side
    264,879.78x = 52,643,198,463.72
  5. Step 5: Solve for x
    x = 52,643,198,463.72/264,879.78
  6. Step 6: Final answer
    x = 198,743.74

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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.