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Finding the Fourth Proportional to 288,220.92, 397,738.26 and 160,908.36

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Solution

The fourth proportional to 288,220.92, 397,738.26 and 160,908.36 is: 222,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,220.92 : 397,738.26 = 160,908.36 : x
  2. Step 2: Convert to fraction form
    288,220.92/397,738.26 = 160,908.36/x
  3. Step 3: Cross multiply
    288,220.92x = 397,738.26 × 160,908.36
  4. Step 4: Simplify right side
    288,220.92x = 63,999,411,125.85
  5. Step 5: Solve for x
    x = 63,999,411,125.85/288,220.92
  6. Step 6: Final answer
    x = 222,049.85

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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.