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Finding the Fourth Proportional to 262,806.60, 394,112.70 and 85,319.40

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Solution

The fourth proportional to 262,806.60, 394,112.70 and 85,319.40 is: 127,947.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,806.60 : 394,112.70 = 85,319.40 : x
  2. Step 2: Convert to fraction form
    262,806.60/394,112.70 = 85,319.40/x
  3. Step 3: Cross multiply
    262,806.60x = 394,112.70 × 85,319.40
  4. Step 4: Simplify right side
    262,806.60x = 33,625,459,096.38
  5. Step 5: Solve for x
    x = 33,625,459,096.38/262,806.60
  6. Step 6: Final answer
    x = 127,947.54

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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.