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Finding the Fourth Proportional to 129,539.30, 194,335.36 and 54,659.46

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Solution

The fourth proportional to 129,539.30, 194,335.36 and 54,659.46 is: 82,000.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,539.30 : 194,335.36 = 54,659.46 : x
  2. Step 2: Convert to fraction form
    129,539.30/194,335.36 = 54,659.46/x
  3. Step 3: Cross multiply
    129,539.30x = 194,335.36 × 54,659.46
  4. Step 4: Simplify right side
    129,539.30x = 10,622,265,836.51
  5. Step 5: Solve for x
    x = 10,622,265,836.51/129,539.30
  6. Step 6: Final answer
    x = 82,000.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.