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Finding the Fourth Proportional to 182,414.30, 251,735.98 and 114,434.14

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Solution

The fourth proportional to 182,414.30, 251,735.98 and 114,434.14 is: 157,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,414.30 : 251,735.98 = 114,434.14 : x
  2. Step 2: Convert to fraction form
    182,414.30/251,735.98 = 114,434.14/x
  3. Step 3: Cross multiply
    182,414.30x = 251,735.98 × 114,434.14
  4. Step 4: Simplify right side
    182,414.30x = 28,807,190,378.36
  5. Step 5: Solve for x
    x = 28,807,190,378.36/182,414.30
  6. Step 6: Final answer
    x = 157,921.78

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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.