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Finding the Fourth Proportional to 213,271.50, 319,906.33 and 86,883.55

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Solution

The fourth proportional to 213,271.50, 319,906.33 and 86,883.55 is: 130,324.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,271.50 : 319,906.33 = 86,883.55 : x
  2. Step 2: Convert to fraction form
    213,271.50/319,906.33 = 86,883.55/x
  3. Step 3: Cross multiply
    213,271.50x = 319,906.33 × 86,883.55
  4. Step 4: Simplify right side
    213,271.50x = 27,794,597,617.87
  5. Step 5: Solve for x
    x = 27,794,597,617.87/213,271.50
  6. Step 6: Final answer
    x = 130,324.95

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