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Finding the Fourth Proportional to 150,523.74, 207,725.04 and 82,546.92

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Solution

The fourth proportional to 150,523.74, 207,725.04 and 82,546.92 is: 113,916.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,523.74 : 207,725.04 = 82,546.92 : x
  2. Step 2: Convert to fraction form
    150,523.74/207,725.04 = 82,546.92/x
  3. Step 3: Cross multiply
    150,523.74x = 207,725.04 × 82,546.92
  4. Step 4: Simplify right side
    150,523.74x = 17,147,062,258.88
  5. Step 5: Solve for x
    x = 17,147,062,258.88/150,523.74
  6. Step 6: Final answer
    x = 113,916.00

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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.