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Finding the Fourth Proportional to 262,169.50, 393,255.69 and 65,177.50

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Solution

The fourth proportional to 262,169.50, 393,255.69 and 65,177.50 is: 97,766.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,169.50 : 393,255.69 = 65,177.50 : x
  2. Step 2: Convert to fraction form
    262,169.50/393,255.69 = 65,177.50/x
  3. Step 3: Cross multiply
    262,169.50x = 393,255.69 × 65,177.50
  4. Step 4: Simplify right side
    262,169.50x = 25,631,422,734.98
  5. Step 5: Solve for x
    x = 25,631,422,734.98/262,169.50
  6. Step 6: Final answer
    x = 97,766.61

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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.