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Finding the Fourth Proportional to 288,255.24, 397,775.52 and 160,938.90

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Solution

The fourth proportional to 288,255.24, 397,775.52 and 160,938.90 is: 222,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,255.24 : 397,775.52 = 160,938.90 : x
  2. Step 2: Convert to fraction form
    288,255.24/397,775.52 = 160,938.90/x
  3. Step 3: Cross multiply
    288,255.24x = 397,775.52 × 160,938.90
  4. Step 4: Simplify right side
    288,255.24x = 64,017,554,635.73
  5. Step 5: Solve for x
    x = 64,017,554,635.73/288,255.24
  6. Step 6: Final answer
    x = 222,086.35

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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.