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Finding the Fourth Proportional to 270,709.92, 406,103.76 and 83,736

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Solution

The fourth proportional to 270,709.92, 406,103.76 and 83,736 is: 125,616.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,709.92 : 406,103.76 = 83,736 : x
  2. Step 2: Convert to fraction form
    270,709.92/406,103.76 = 83,736/x
  3. Step 3: Cross multiply
    270,709.92x = 406,103.76 × 83,736
  4. Step 4: Simplify right side
    270,709.92x = 34,005,504,447.36
  5. Step 5: Solve for x
    x = 34,005,504,447.36/270,709.92
  6. Step 6: Final answer
    x = 125,616.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.