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Finding the Fourth Proportional to 188,193.21, 282,290.21 and 132,283.50

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Solution

The fourth proportional to 188,193.21, 282,290.21 and 132,283.50 is: 198,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,193.21 : 282,290.21 = 132,283.50 : x
  2. Step 2: Convert to fraction form
    188,193.21/282,290.21 = 132,283.50/x
  3. Step 3: Cross multiply
    188,193.21x = 282,290.21 × 132,283.50
  4. Step 4: Simplify right side
    188,193.21x = 37,342,336,994.54
  5. Step 5: Solve for x
    x = 37,342,336,994.54/188,193.21
  6. Step 6: Final answer
    x = 198,425.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.