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Finding the Fourth Proportional to 150,538.64, 207,724.23 and 82,537.72

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Solution

The fourth proportional to 150,538.64, 207,724.23 and 82,537.72 is: 113,891.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,538.64 : 207,724.23 = 82,537.72 : x
  2. Step 2: Convert to fraction form
    150,538.64/207,724.23 = 82,537.72/x
  3. Step 3: Cross multiply
    150,538.64x = 207,724.23 × 82,537.72
  4. Step 4: Simplify right side
    150,538.64x = 17,145,083,504.13
  5. Step 5: Solve for x
    x = 17,145,083,504.13/150,538.64
  6. Step 6: Final answer
    x = 113,891.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.