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Finding the Fourth Proportional to 111,713.87, 154,164.06 and 83,161.22

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Solution

The fourth proportional to 111,713.87, 154,164.06 and 83,161.22 is: 114,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,713.87 : 154,164.06 = 83,161.22 : x
  2. Step 2: Convert to fraction form
    111,713.87/154,164.06 = 83,161.22/x
  3. Step 3: Cross multiply
    111,713.87x = 154,164.06 × 83,161.22
  4. Step 4: Simplify right side
    111,713.87x = 12,820,470,538.93
  5. Step 5: Solve for x
    x = 12,820,470,538.93/111,713.87
  6. Step 6: Final answer
    x = 114,761.67

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