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Finding the Fourth Proportional to 100,410.68, 138,571.08 and 60,131

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Solution

The fourth proportional to 100,410.68, 138,571.08 and 60,131 is: 82,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410.68 : 138,571.08 = 60,131 : x
  2. Step 2: Convert to fraction form
    100,410.68/138,571.08 = 60,131/x
  3. Step 3: Cross multiply
    100,410.68x = 138,571.08 × 60,131
  4. Step 4: Simplify right side
    100,410.68x = 8,332,417,611.48
  5. Step 5: Solve for x
    x = 8,332,417,611.48/100,410.68
  6. Step 6: Final answer
    x = 82,983.38

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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.