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Finding the Fourth Proportional to 188,884.94, 283,376.43 and 83,678.90

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Solution

The fourth proportional to 188,884.94, 283,376.43 and 83,678.90 is: 125,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,884.94 : 283,376.43 = 83,678.90 : x
  2. Step 2: Convert to fraction form
    188,884.94/283,376.43 = 83,678.90/x
  3. Step 3: Cross multiply
    188,884.94x = 283,376.43 × 83,678.90
  4. Step 4: Simplify right side
    188,884.94x = 23,712,626,531.44
  5. Step 5: Solve for x
    x = 23,712,626,531.44/188,884.94
  6. Step 6: Final answer
    x = 125,540.06

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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.