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Finding the Fourth Proportional to 196,657.96, 271,388.10 and 111,775

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Solution

The fourth proportional to 196,657.96, 271,388.10 and 111,775 is: 154,249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,657.96 : 271,388.10 = 111,775 : x
  2. Step 2: Convert to fraction form
    196,657.96/271,388.10 = 111,775/x
  3. Step 3: Cross multiply
    196,657.96x = 271,388.10 × 111,775
  4. Step 4: Simplify right side
    196,657.96x = 30,334,404,877.50
  5. Step 5: Solve for x
    x = 30,334,404,877.50/196,657.96
  6. Step 6: Final answer
    x = 154,249.57

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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.