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Finding the Fourth Proportional to 182,126.36, 251,493.00 and 114,260

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Solution

The fourth proportional to 182,126.36, 251,493.00 and 114,260 is: 157,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,126.36 : 251,493.00 = 114,260 : x
  2. Step 2: Convert to fraction form
    182,126.36/251,493.00 = 114,260/x
  3. Step 3: Cross multiply
    182,126.36x = 251,493.00 × 114,260
  4. Step 4: Simplify right side
    182,126.36x = 28,735,589,608.70
  5. Step 5: Solve for x
    x = 28,735,589,608.70/182,126.36
  6. Step 6: Final answer
    x = 157,778.31

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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.