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Finding the Fourth Proportional to 188,984.51, 283,384.49 and 82,458.48

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Solution

The fourth proportional to 188,984.51, 283,384.49 and 82,458.48 is: 123,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,984.51 : 283,384.49 = 82,458.48 : x
  2. Step 2: Convert to fraction form
    188,984.51/283,384.49 = 82,458.48/x
  3. Step 3: Cross multiply
    188,984.51x = 283,384.49 × 82,458.48
  4. Step 4: Simplify right side
    188,984.51x = 23,367,453,888.68
  5. Step 5: Solve for x
    x = 23,367,453,888.68/188,984.51
  6. Step 6: Final answer
    x = 123,647.46

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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.