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Finding the Fourth Proportional to 263,016.81, 394,806.02 and 113,330.97

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Solution

The fourth proportional to 263,016.81, 394,806.02 and 113,330.97 is: 170,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,016.81 : 394,806.02 = 113,330.97 : x
  2. Step 2: Convert to fraction form
    263,016.81/394,806.02 = 113,330.97/x
  3. Step 3: Cross multiply
    263,016.81x = 394,806.02 × 113,330.97
  4. Step 4: Simplify right side
    263,016.81x = 44,743,748,641.78
  5. Step 5: Solve for x
    x = 44,743,748,641.78/263,016.81
  6. Step 6: Final answer
    x = 170,117.45

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Why These Related Problems?

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