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Finding the Fourth Proportional to 120,632.48, 166,559.10 and 80,441

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Solution

The fourth proportional to 120,632.48, 166,559.10 and 80,441 is: 111,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,632.48 : 166,559.10 = 80,441 : x
  2. Step 2: Convert to fraction form
    120,632.48/166,559.10 = 80,441/x
  3. Step 3: Cross multiply
    120,632.48x = 166,559.10 × 80,441
  4. Step 4: Simplify right side
    120,632.48x = 13,398,180,563.10
  5. Step 5: Solve for x
    x = 13,398,180,563.10/120,632.48
  6. Step 6: Final answer
    x = 111,066.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.