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Finding the Fourth Proportional to 188,292.70, 282,441.33 and 55,175.66

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Solution

The fourth proportional to 188,292.70, 282,441.33 and 55,175.66 is: 82,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,292.70 : 282,441.33 = 55,175.66 : x
  2. Step 2: Convert to fraction form
    188,292.70/282,441.33 = 55,175.66/x
  3. Step 3: Cross multiply
    188,292.70x = 282,441.33 × 55,175.66
  4. Step 4: Simplify right side
    188,292.70x = 15,583,885,105.94
  5. Step 5: Solve for x
    x = 15,583,885,105.94/188,292.70
  6. Step 6: Final answer
    x = 82,764.15

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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.