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Finding the Fourth Proportional to 288,061.20, 397,532.16 and 160,761.60

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Solution

The fourth proportional to 288,061.20, 397,532.16 and 160,761.60 is: 221,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,061.20 : 397,532.16 = 160,761.60 : x
  2. Step 2: Convert to fraction form
    288,061.20/397,532.16 = 160,761.60/x
  3. Step 3: Cross multiply
    288,061.20x = 397,532.16 × 160,761.60
  4. Step 4: Simplify right side
    288,061.20x = 63,907,906,093.06
  5. Step 5: Solve for x
    x = 63,907,906,093.06/288,061.20
  6. Step 6: Final answer
    x = 221,855.31

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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.