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Finding the Fourth Proportional to 138,765.46, 208,148.17 and 33,584.42

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Solution

The fourth proportional to 138,765.46, 208,148.17 and 33,584.42 is: 50,376.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,765.46 : 208,148.17 = 33,584.42 : x
  2. Step 2: Convert to fraction form
    138,765.46/208,148.17 = 33,584.42/x
  3. Step 3: Cross multiply
    138,765.46x = 208,148.17 × 33,584.42
  4. Step 4: Simplify right side
    138,765.46x = 6,990,535,563.51
  5. Step 5: Solve for x
    x = 6,990,535,563.51/138,765.46
  6. Step 6: Final answer
    x = 50,376.63

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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.