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Finding the Fourth Proportional to 196,397.14, 270,935.25 and 132,757.30

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Solution

The fourth proportional to 196,397.14, 270,935.25 and 132,757.30 is: 183,142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,397.14 : 270,935.25 = 132,757.30 : x
  2. Step 2: Convert to fraction form
    196,397.14/270,935.25 = 132,757.30/x
  3. Step 3: Cross multiply
    196,397.14x = 270,935.25 × 132,757.30
  4. Step 4: Simplify right side
    196,397.14x = 35,968,632,264.83
  5. Step 5: Solve for x
    x = 35,968,632,264.83/196,397.14
  6. Step 6: Final answer
    x = 183,142.34

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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.