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Finding the Fourth Proportional to 120,842.52, 166,809.24 and 80,541.60

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Solution

The fourth proportional to 120,842.52, 166,809.24 and 80,541.60 is: 111,178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842.52 : 166,809.24 = 80,541.60 : x
  2. Step 2: Convert to fraction form
    120,842.52/166,809.24 = 80,541.60/x
  3. Step 3: Cross multiply
    120,842.52x = 166,809.24 × 80,541.60
  4. Step 4: Simplify right side
    120,842.52x = 13,435,083,084.38
  5. Step 5: Solve for x
    x = 13,435,083,084.38/120,842.52
  6. Step 6: Final answer
    x = 111,178.44

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Why These Related Problems?

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