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Finding the Fourth Proportional to 188,106.70, 282,233.49 and 82,851.88

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Solution

The fourth proportional to 188,106.70, 282,233.49 and 82,851.88 is: 124,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,106.70 : 282,233.49 = 82,851.88 : x
  2. Step 2: Convert to fraction form
    188,106.70/282,233.49 = 82,851.88/x
  3. Step 3: Cross multiply
    188,106.70x = 282,233.49 × 82,851.88
  4. Step 4: Simplify right side
    188,106.70x = 23,383,575,245.46
  5. Step 5: Solve for x
    x = 23,383,575,245.46/188,106.70
  6. Step 6: Final answer
    x = 124,310.17

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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.