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Finding the Fourth Proportional to 263,071.76, 394,510.14 and 94,546.67

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Solution

The fourth proportional to 263,071.76, 394,510.14 and 94,546.67 is: 141,784.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,071.76 : 394,510.14 = 94,546.67 : x
  2. Step 2: Convert to fraction form
    263,071.76/394,510.14 = 94,546.67/x
  3. Step 3: Cross multiply
    263,071.76x = 394,510.14 × 94,546.67
  4. Step 4: Simplify right side
    263,071.76x = 37,299,618,045.68
  5. Step 5: Solve for x
    x = 37,299,618,045.68/263,071.76
  6. Step 6: Final answer
    x = 141,784.96

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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.