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Finding the Fourth Proportional to 264,085.07, 364,012.97 and 206,625.29

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Solution

The fourth proportional to 264,085.07, 364,012.97 and 206,625.29 is: 284,810.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,085.07 : 364,012.97 = 206,625.29 : x
  2. Step 2: Convert to fraction form
    264,085.07/364,012.97 = 206,625.29/x
  3. Step 3: Cross multiply
    264,085.07x = 364,012.97 × 206,625.29
  4. Step 4: Simplify right side
    264,085.07x = 75,214,285,366.92
  5. Step 5: Solve for x
    x = 75,214,285,366.92/264,085.07
  6. Step 6: Final answer
    x = 284,810.82

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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.