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Finding the Fourth Proportional to 196,163.19, 270,705.38 and 110,110.14

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Solution

The fourth proportional to 196,163.19, 270,705.38 and 110,110.14 is: 151,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,163.19 : 270,705.38 = 110,110.14 : x
  2. Step 2: Convert to fraction form
    196,163.19/270,705.38 = 110,110.14/x
  3. Step 3: Cross multiply
    196,163.19x = 270,705.38 × 110,110.14
  4. Step 4: Simplify right side
    196,163.19x = 29,807,406,740.00
  5. Step 5: Solve for x
    x = 29,807,406,740.00/196,163.19
  6. Step 6: Final answer
    x = 151,952.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.