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Finding the Fourth Proportional to 188,980.98, 283,379.24 and 82,454.98

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Solution

The fourth proportional to 188,980.98, 283,379.24 and 82,454.98 is: 123,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,980.98 : 283,379.24 = 82,454.98 : x
  2. Step 2: Convert to fraction form
    188,980.98/283,379.24 = 82,454.98/x
  3. Step 3: Cross multiply
    188,980.98x = 283,379.24 × 82,454.98
  4. Step 4: Simplify right side
    188,980.98x = 23,366,029,566.62
  5. Step 5: Solve for x
    x = 23,366,029,566.62/188,980.98
  6. Step 6: Final answer
    x = 123,642.23

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1.5x scale

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.