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Finding the Fourth Proportional to 196,635.15, 271,512.36 and 158,274

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Solution

The fourth proportional to 196,635.15, 271,512.36 and 158,274 is: 218,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,635.15 : 271,512.36 = 158,274 : x
  2. Step 2: Convert to fraction form
    196,635.15/271,512.36 = 158,274/x
  3. Step 3: Cross multiply
    196,635.15x = 271,512.36 × 158,274
  4. Step 4: Simplify right side
    196,635.15x = 42,973,347,266.64
  5. Step 5: Solve for x
    x = 42,973,347,266.64/196,635.15
  6. Step 6: Final answer
    x = 218,543.57

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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.