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Finding the Fourth Proportional to 146,494.44, 219,348 and 120,512.88

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Solution

The fourth proportional to 146,494.44, 219,348 and 120,512.88 is: 180,445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,494.44 : 219,348 = 120,512.88 : x
  2. Step 2: Convert to fraction form
    146,494.44/219,348 = 120,512.88/x
  3. Step 3: Cross multiply
    146,494.44x = 219,348 × 120,512.88
  4. Step 4: Simplify right side
    146,494.44x = 26,434,259,202.24
  5. Step 5: Solve for x
    x = 26,434,259,202.24/146,494.44
  6. Step 6: Final answer
    x = 180,445.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.