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Finding the Fourth Proportional to 288,222.72, 397,743.66 and 160,900.44

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Solution

The fourth proportional to 288,222.72, 397,743.66 and 160,900.44 is: 222,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,222.72 : 397,743.66 = 160,900.44 : x
  2. Step 2: Convert to fraction form
    288,222.72/397,743.66 = 160,900.44/x
  3. Step 3: Cross multiply
    288,222.72x = 397,743.66 × 160,900.44
  4. Step 4: Simplify right side
    288,222.72x = 63,997,129,901.21
  5. Step 5: Solve for x
    x = 63,997,129,901.21/288,222.72
  6. Step 6: Final answer
    x = 222,040.55

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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.