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Finding the Fourth Proportional to 188,261.44, 282,447.52 and 75,883.81

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Solution

The fourth proportional to 188,261.44, 282,447.52 and 75,883.81 is: 113,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,261.44 : 282,447.52 = 75,883.81 : x
  2. Step 2: Convert to fraction form
    188,261.44/282,447.52 = 75,883.81/x
  3. Step 3: Cross multiply
    188,261.44x = 282,447.52 × 75,883.81
  4. Step 4: Simplify right side
    188,261.44x = 21,433,193,942.65
  5. Step 5: Solve for x
    x = 21,433,193,942.65/188,261.44
  6. Step 6: Final answer
    x = 113,848.03

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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.