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Finding the Fourth Proportional to 120,989.84, 166,966.44 and 83,198.48

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Solution

The fourth proportional to 120,989.84, 166,966.44 and 83,198.48 is: 114,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,989.84 : 166,966.44 = 83,198.48 : x
  2. Step 2: Convert to fraction form
    120,989.84/166,966.44 = 83,198.48/x
  3. Step 3: Cross multiply
    120,989.84x = 166,966.44 × 83,198.48
  4. Step 4: Simplify right side
    120,989.84x = 13,891,354,019.01
  5. Step 5: Solve for x
    x = 13,891,354,019.01/120,989.84
  6. Step 6: Final answer
    x = 114,814.22

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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.