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Finding the Fourth Proportional to 112,034.80, 167,904.60 and 82,313.20

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Solution

The fourth proportional to 112,034.80, 167,904.60 and 82,313.20 is: 123,361.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,034.80 : 167,904.60 = 82,313.20 : x
  2. Step 2: Convert to fraction form
    112,034.80/167,904.60 = 82,313.20/x
  3. Step 3: Cross multiply
    112,034.80x = 167,904.60 × 82,313.20
  4. Step 4: Simplify right side
    112,034.80x = 13,820,764,920.72
  5. Step 5: Solve for x
    x = 13,820,764,920.72/112,034.80
  6. Step 6: Final answer
    x = 123,361.36

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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.