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Finding the Fourth Proportional to 130,229.44, 195,344.16 and 47,104

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Solution

The fourth proportional to 130,229.44, 195,344.16 and 47,104 is: 70,656

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,229.44 : 195,344.16 = 47,104 : x
  2. Step 2: Convert to fraction form
    130,229.44/195,344.16 = 47,104/x
  3. Step 3: Cross multiply
    130,229.44x = 195,344.16 × 47,104
  4. Step 4: Simplify right side
    130,229.44x = 9,201,491,312.64
  5. Step 5: Solve for x
    x = 9,201,491,312.64/130,229.44
  6. Step 6: Final answer
    x = 70,656

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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.