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Finding the Fourth Proportional to 213,279.29, 319,672.86 and 80,074.59

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Solution

The fourth proportional to 213,279.29, 319,672.86 and 80,074.59 is: 120,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,279.29 : 319,672.86 = 80,074.59 : x
  2. Step 2: Convert to fraction form
    213,279.29/319,672.86 = 80,074.59/x
  3. Step 3: Cross multiply
    213,279.29x = 319,672.86 × 80,074.59
  4. Step 4: Simplify right side
    213,279.29x = 25,597,673,198.63
  5. Step 5: Solve for x
    x = 25,597,673,198.63/213,279.29
  6. Step 6: Final answer
    x = 120,019.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.