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Finding the Fourth Proportional to 120,386.11, 166,138.22 and 65,942.11

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Solution

The fourth proportional to 120,386.11, 166,138.22 and 65,942.11 is: 91,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,386.11 : 166,138.22 = 65,942.11 : x
  2. Step 2: Convert to fraction form
    120,386.11/166,138.22 = 65,942.11/x
  3. Step 3: Cross multiply
    120,386.11x = 166,138.22 × 65,942.11
  4. Step 4: Simplify right side
    120,386.11x = 10,955,504,033.39
  5. Step 5: Solve for x
    x = 10,955,504,033.39/120,386.11
  6. Step 6: Final answer
    x = 91,003.06

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1.5x scale

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.