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Finding the Fourth Proportional to 149,094, 205,749.72 and 82,026

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Solution

The fourth proportional to 149,094, 205,749.72 and 82,026 is: 113,195.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,094 : 205,749.72 = 82,026 : x
  2. Step 2: Convert to fraction form
    149,094/205,749.72 = 82,026/x
  3. Step 3: Cross multiply
    149,094x = 205,749.72 × 82,026
  4. Step 4: Simplify right side
    149,094x = 16,876,826,532.72
  5. Step 5: Solve for x
    x = 16,876,826,532.72/149,094
  6. Step 6: Final answer
    x = 113,195.88

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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.