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Finding the Fourth Proportional to 205,401.60, 308,201.04 and 100,163.16

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Solution

The fourth proportional to 205,401.60, 308,201.04 and 100,163.16 is: 150,292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,401.60 : 308,201.04 = 100,163.16 : x
  2. Step 2: Convert to fraction form
    205,401.60/308,201.04 = 100,163.16/x
  3. Step 3: Cross multiply
    205,401.60x = 308,201.04 × 100,163.16
  4. Step 4: Simplify right side
    205,401.60x = 30,870,390,081.69
  5. Step 5: Solve for x
    x = 30,870,390,081.69/205,401.60
  6. Step 6: Final answer
    x = 150,292.84

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