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Finding the Fourth Proportional to 150,539.64, 207,725.61 and 82,538.72

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Solution

The fourth proportional to 150,539.64, 207,725.61 and 82,538.72 is: 113,892.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,539.64 : 207,725.61 = 82,538.72 : x
  2. Step 2: Convert to fraction form
    150,539.64/207,725.61 = 82,538.72/x
  3. Step 3: Cross multiply
    150,539.64x = 207,725.61 × 82,538.72
  4. Step 4: Simplify right side
    150,539.64x = 17,145,405,960.62
  5. Step 5: Solve for x
    x = 17,145,405,960.62/150,539.64
  6. Step 6: Final answer
    x = 113,892.97

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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.