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Finding the Fourth Proportional to 164,674.60, 227,163.29 and 100,163.57

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Solution

The fourth proportional to 164,674.60, 227,163.29 and 100,163.57 is: 138,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,674.60 : 227,163.29 = 100,163.57 : x
  2. Step 2: Convert to fraction form
    164,674.60/227,163.29 = 100,163.57/x
  3. Step 3: Cross multiply
    164,674.60x = 227,163.29 × 100,163.57
  4. Step 4: Simplify right side
    164,674.60x = 22,753,485,598.53
  5. Step 5: Solve for x
    x = 22,753,485,598.53/164,674.60
  6. Step 6: Final answer
    x = 138,172.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.