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Finding the Fourth Proportional to 188,957.52, 283,241.88 and 83,826

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Solution

The fourth proportional to 188,957.52, 283,241.88 and 83,826 is: 125,652.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,957.52 : 283,241.88 = 83,826 : x
  2. Step 2: Convert to fraction form
    188,957.52/283,241.88 = 83,826/x
  3. Step 3: Cross multiply
    188,957.52x = 283,241.88 × 83,826
  4. Step 4: Simplify right side
    188,957.52x = 23,743,033,832.88
  5. Step 5: Solve for x
    x = 23,743,033,832.88/188,957.52
  6. Step 6: Final answer
    x = 125,652.76

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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.