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Finding the Fourth Proportional to 210,414.80, 290,372 and 114,921.44

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Solution

The fourth proportional to 210,414.80, 290,372 and 114,921.44 is: 158,591.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,414.80 : 290,372 = 114,921.44 : x
  2. Step 2: Convert to fraction form
    210,414.80/290,372 = 114,921.44/x
  3. Step 3: Cross multiply
    210,414.80x = 290,372 × 114,921.44
  4. Step 4: Simplify right side
    210,414.80x = 33,369,968,375.68
  5. Step 5: Solve for x
    x = 33,369,968,375.68/210,414.80
  6. Step 6: Final answer
    x = 158,591.36

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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.