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Finding the Fourth Proportional to 188,080.44, 282,055.05 and 82,842

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Solution

The fourth proportional to 188,080.44, 282,055.05 and 82,842 is: 124,234.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,080.44 : 282,055.05 = 82,842 : x
  2. Step 2: Convert to fraction form
    188,080.44/282,055.05 = 82,842/x
  3. Step 3: Cross multiply
    188,080.44x = 282,055.05 × 82,842
  4. Step 4: Simplify right side
    188,080.44x = 23,366,004,452.10
  5. Step 5: Solve for x
    x = 23,366,004,452.10/188,080.44
  6. Step 6: Final answer
    x = 124,234.10

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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.