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Finding the Fourth Proportional to 188,151.36, 282,229.92 and 47,912.64

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Solution

The fourth proportional to 188,151.36, 282,229.92 and 47,912.64 is: 71,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,151.36 : 282,229.92 = 47,912.64 : x
  2. Step 2: Convert to fraction form
    188,151.36/282,229.92 = 47,912.64/x
  3. Step 3: Cross multiply
    188,151.36x = 282,229.92 × 47,912.64
  4. Step 4: Simplify right side
    188,151.36x = 13,522,380,554.19
  5. Step 5: Solve for x
    x = 13,522,380,554.19/188,151.36
  6. Step 6: Final answer
    x = 71,869.69

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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.