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Finding the Fourth Proportional to 260,491, 390,787.26 and 110,729.56

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Solution

The fourth proportional to 260,491, 390,787.26 and 110,729.56 is: 166,115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,491 : 390,787.26 = 110,729.56 : x
  2. Step 2: Convert to fraction form
    260,491/390,787.26 = 110,729.56/x
  3. Step 3: Cross multiply
    260,491x = 390,787.26 × 110,729.56
  4. Step 4: Simplify right side
    260,491x = 43,271,701,353.41
  5. Step 5: Solve for x
    x = 43,271,701,353.41/260,491
  6. Step 6: Final answer
    x = 166,115.92

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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.