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Finding the Fourth Proportional to 139,541.56, 209,310.54 and 34,361.44

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Solution

The fourth proportional to 139,541.56, 209,310.54 and 34,361.44 is: 51,541.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,541.56 : 209,310.54 = 34,361.44 : x
  2. Step 2: Convert to fraction form
    139,541.56/209,310.54 = 34,361.44/x
  3. Step 3: Cross multiply
    139,541.56x = 209,310.54 × 34,361.44
  4. Step 4: Simplify right side
    139,541.56x = 7,192,211,561.58
  5. Step 5: Solve for x
    x = 7,192,211,561.58/139,541.56
  6. Step 6: Final answer
    x = 51,541.72

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Why These Related Problems?

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