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Finding the Fourth Proportional to 188,833.94, 283,147.37 and 74,866.29

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Solution

The fourth proportional to 188,833.94, 283,147.37 and 74,866.29 is: 112,258.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,833.94 : 283,147.37 = 74,866.29 : x
  2. Step 2: Convert to fraction form
    188,833.94/283,147.37 = 74,866.29/x
  3. Step 3: Cross multiply
    188,833.94x = 283,147.37 × 74,866.29
  4. Step 4: Simplify right side
    188,833.94x = 21,198,193,302.32
  5. Step 5: Solve for x
    x = 21,198,193,302.32/188,833.94
  6. Step 6: Final answer
    x = 112,258.39

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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.