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Finding the Fourth Proportional to 188,214.30, 280,967.61 and 161,270.16

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Solution

The fourth proportional to 188,214.30, 280,967.61 and 161,270.16 is: 240,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,214.30 : 280,967.61 = 161,270.16 : x
  2. Step 2: Convert to fraction form
    188,214.30/280,967.61 = 161,270.16/x
  3. Step 3: Cross multiply
    188,214.30x = 280,967.61 × 161,270.16
  4. Step 4: Simplify right side
    188,214.30x = 45,311,692,024.28
  5. Step 5: Solve for x
    x = 45,311,692,024.28/188,214.30
  6. Step 6: Final answer
    x = 240,745.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.