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Finding the Fourth Proportional to 188,504.85, 282,958.73 and 76,258.45

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Solution

The fourth proportional to 188,504.85, 282,958.73 and 76,258.45 is: 114,469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,504.85 : 282,958.73 = 76,258.45 : x
  2. Step 2: Convert to fraction form
    188,504.85/282,958.73 = 76,258.45/x
  3. Step 3: Cross multiply
    188,504.85x = 282,958.73 × 76,258.45
  4. Step 4: Simplify right side
    188,504.85x = 21,577,994,163.77
  5. Step 5: Solve for x
    x = 21,577,994,163.77/188,504.85
  6. Step 6: Final answer
    x = 114,469.17

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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.