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Finding the Fourth Proportional to 270,163.06, 405,255.52 and 101,665.64

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Solution

The fourth proportional to 270,163.06, 405,255.52 and 101,665.64 is: 152,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,163.06 : 405,255.52 = 101,665.64 : x
  2. Step 2: Convert to fraction form
    270,163.06/405,255.52 = 101,665.64/x
  3. Step 3: Cross multiply
    270,163.06x = 405,255.52 × 101,665.64
  4. Step 4: Simplify right side
    270,163.06x = 41,200,562,944.55
  5. Step 5: Solve for x
    x = 41,200,562,944.55/270,163.06
  6. Step 6: Final answer
    x = 152,502.58

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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.