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Finding the Fourth Proportional to 264,050.85, 396,072.68 and 86,563.65

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Solution

The fourth proportional to 264,050.85, 396,072.68 and 86,563.65 is: 129,844.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,050.85 : 396,072.68 = 86,563.65 : x
  2. Step 2: Convert to fraction form
    264,050.85/396,072.68 = 86,563.65/x
  3. Step 3: Cross multiply
    264,050.85x = 396,072.68 × 86,563.65
  4. Step 4: Simplify right side
    264,050.85x = 34,285,496,413.26
  5. Step 5: Solve for x
    x = 34,285,496,413.26/264,050.85
  6. Step 6: Final answer
    x = 129,844.29

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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.