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Finding the Fourth Proportional to 188,214.10, 282,321.15 and 82,921.30

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Solution

The fourth proportional to 188,214.10, 282,321.15 and 82,921.30 is: 124,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,214.10 : 282,321.15 = 82,921.30 : x
  2. Step 2: Convert to fraction form
    188,214.10/282,321.15 = 82,921.30/x
  3. Step 3: Cross multiply
    188,214.10x = 282,321.15 × 82,921.30
  4. Step 4: Simplify right side
    188,214.10x = 23,410,436,775.50
  5. Step 5: Solve for x
    x = 23,410,436,775.50/188,214.10
  6. Step 6: Final answer
    x = 124,381.95

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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.