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Finding the Fourth Proportional to 288,201.90, 397,702.13 and 160,885.56

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Solution

The fourth proportional to 288,201.90, 397,702.13 and 160,885.56 is: 222,012.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,201.90 : 397,702.13 = 160,885.56 : x
  2. Step 2: Convert to fraction form
    288,201.90/397,702.13 = 160,885.56/x
  3. Step 3: Cross multiply
    288,201.90x = 397,702.13 × 160,885.56
  4. Step 4: Simplify right side
    288,201.90x = 63,984,529,093.82
  5. Step 5: Solve for x
    x = 63,984,529,093.82/288,201.90
  6. Step 6: Final answer
    x = 222,012.86

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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.