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Finding the Fourth Proportional to 196,554.48, 271,168.20 and 120,971.76

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Solution

The fourth proportional to 196,554.48, 271,168.20 and 120,971.76 is: 166,893.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,554.48 : 271,168.20 = 120,971.76 : x
  2. Step 2: Convert to fraction form
    196,554.48/271,168.20 = 120,971.76/x
  3. Step 3: Cross multiply
    196,554.48x = 271,168.20 × 120,971.76
  4. Step 4: Simplify right side
    196,554.48x = 32,803,694,410.03
  5. Step 5: Solve for x
    x = 32,803,694,410.03/196,554.48
  6. Step 6: Final answer
    x = 166,893.65

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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.