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Finding the Fourth Proportional to 196,410.35, 271,038.63 and 120,057.28

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Solution

The fourth proportional to 196,410.35, 271,038.63 and 120,057.28 is: 165,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,410.35 : 271,038.63 = 120,057.28 : x
  2. Step 2: Convert to fraction form
    196,410.35/271,038.63 = 120,057.28/x
  3. Step 3: Cross multiply
    196,410.35x = 271,038.63 × 120,057.28
  4. Step 4: Simplify right side
    196,410.35x = 32,540,160,692.73
  5. Step 5: Solve for x
    x = 32,540,160,692.73/196,410.35
  6. Step 6: Final answer
    x = 165,674.37

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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.