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Finding the Fourth Proportional to 196,523.50, 271,212.05 and 110,509.56

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Solution

The fourth proportional to 196,523.50, 271,212.05 and 110,509.56 is: 152,508.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,523.50 : 271,212.05 = 110,509.56 : x
  2. Step 2: Convert to fraction form
    196,523.50/271,212.05 = 110,509.56/x
  3. Step 3: Cross multiply
    196,523.50x = 271,212.05 × 110,509.56
  4. Step 4: Simplify right side
    196,523.50x = 29,971,524,312.20
  5. Step 5: Solve for x
    x = 29,971,524,312.20/196,523.50
  6. Step 6: Final answer
    x = 152,508.60

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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.