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Finding the Fourth Proportional to 192,652.20, 288,978.30 and 159,474.60

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Solution

The fourth proportional to 192,652.20, 288,978.30 and 159,474.60 is: 239,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,652.20 : 288,978.30 = 159,474.60 : x
  2. Step 2: Convert to fraction form
    192,652.20/288,978.30 = 159,474.60/x
  3. Step 3: Cross multiply
    192,652.20x = 288,978.30 × 159,474.60
  4. Step 4: Simplify right side
    192,652.20x = 46,084,698,801.18
  5. Step 5: Solve for x
    x = 46,084,698,801.18/192,652.20
  6. Step 6: Final answer
    x = 239,211.90

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Why These Related Problems?

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