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Finding the Fourth Proportional to 112,074.80, 167,964.60 and 82,353.20

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Solution

The fourth proportional to 112,074.80, 167,964.60 and 82,353.20 is: 123,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,074.80 : 167,964.60 = 82,353.20 : x
  2. Step 2: Convert to fraction form
    112,074.80/167,964.60 = 82,353.20/x
  3. Step 3: Cross multiply
    112,074.80x = 167,964.60 × 82,353.20
  4. Step 4: Simplify right side
    112,074.80x = 13,832,422,296.72
  5. Step 5: Solve for x
    x = 13,832,422,296.72/112,074.80
  6. Step 6: Final answer
    x = 123,421.34

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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.