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Finding the Fourth Proportional to 196,753.76, 271,492.80 and 111,861.44

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Solution

The fourth proportional to 196,753.76, 271,492.80 and 111,861.44 is: 154,353.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,753.76 : 271,492.80 = 111,861.44 : x
  2. Step 2: Convert to fraction form
    196,753.76/271,492.80 = 111,861.44/x
  3. Step 3: Cross multiply
    196,753.76x = 271,492.80 × 111,861.44
  4. Step 4: Simplify right side
    196,753.76x = 30,369,575,557.63
  5. Step 5: Solve for x
    x = 30,369,575,557.63/196,753.76
  6. Step 6: Final answer
    x = 154,353.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.