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Finding the Fourth Proportional to 196,412.17, 271,041.60 and 120,059.14

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Solution

The fourth proportional to 196,412.17, 271,041.60 and 120,059.14 is: 165,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,412.17 : 271,041.60 = 120,059.14 : x
  2. Step 2: Convert to fraction form
    196,412.17/271,041.60 = 120,059.14/x
  3. Step 3: Cross multiply
    196,412.17x = 271,041.60 × 120,059.14
  4. Step 4: Simplify right side
    196,412.17x = 32,541,021,400.22
  5. Step 5: Solve for x
    x = 32,541,021,400.22/196,412.17
  6. Step 6: Final answer
    x = 165,677.22

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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.