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Finding the Fourth Proportional to 196,407.16, 271,034.25 and 120,054.09

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Solution

The fourth proportional to 196,407.16, 271,034.25 and 120,054.09 is: 165,669.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,407.16 : 271,034.25 = 120,054.09 : x
  2. Step 2: Convert to fraction form
    196,407.16/271,034.25 = 120,054.09/x
  3. Step 3: Cross multiply
    196,407.16x = 271,034.25 × 120,054.09
  4. Step 4: Simplify right side
    196,407.16x = 32,538,770,808.76
  5. Step 5: Solve for x
    x = 32,538,770,808.76/196,407.16
  6. Step 6: Final answer
    x = 165,669.98

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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.