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Finding the Fourth Proportional to 188,020.20, 282,095.10 and 82,914.60

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Solution

The fourth proportional to 188,020.20, 282,095.10 and 82,914.60 is: 124,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,020.20 : 282,095.10 = 82,914.60 : x
  2. Step 2: Convert to fraction form
    188,020.20/282,095.10 = 82,914.60/x
  3. Step 3: Cross multiply
    188,020.20x = 282,095.10 × 82,914.60
  4. Step 4: Simplify right side
    188,020.20x = 23,389,802,378.46
  5. Step 5: Solve for x
    x = 23,389,802,378.46/188,020.20
  6. Step 6: Final answer
    x = 124,400.48

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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.