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Finding the Fourth Proportional to 188,242.85, 282,343.62 and 55,124.44

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Solution

The fourth proportional to 188,242.85, 282,343.62 and 55,124.44 is: 82,680.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,242.85 : 282,343.62 = 55,124.44 : x
  2. Step 2: Convert to fraction form
    188,242.85/282,343.62 = 55,124.44/x
  3. Step 3: Cross multiply
    188,242.85x = 282,343.62 × 55,124.44
  4. Step 4: Simplify right side
    188,242.85x = 15,564,033,940.07
  5. Step 5: Solve for x
    x = 15,564,033,940.07/188,242.85
  6. Step 6: Final answer
    x = 82,680.61

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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.