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Finding the Fourth Proportional to 138,163.80, 207,399.30 and 85,632.60

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Solution

The fourth proportional to 138,163.80, 207,399.30 and 85,632.60 is: 128,544.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163.80 : 207,399.30 = 85,632.60 : x
  2. Step 2: Convert to fraction form
    138,163.80/207,399.30 = 85,632.60/x
  3. Step 3: Cross multiply
    138,163.80x = 207,399.30 × 85,632.60
  4. Step 4: Simplify right side
    138,163.80x = 17,760,141,297.18
  5. Step 5: Solve for x
    x = 17,760,141,297.18/138,163.80
  6. Step 6: Final answer
    x = 128,544.10

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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.