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Finding the Fourth Proportional to 196,647, 271,373.40 and 107,223

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Solution

The fourth proportional to 196,647, 271,373.40 and 107,223 is: 147,968.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,647 : 271,373.40 = 107,223 : x
  2. Step 2: Convert to fraction form
    196,647/271,373.40 = 107,223/x
  3. Step 3: Cross multiply
    196,647x = 271,373.40 × 107,223
  4. Step 4: Simplify right side
    196,647x = 29,097,470,068.20
  5. Step 5: Solve for x
    x = 29,097,470,068.20/196,647
  6. Step 6: Final answer
    x = 147,968.03

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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.