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Finding the Fourth Proportional to 132,813, 199,099.44 and 48,513.69

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Solution

The fourth proportional to 132,813, 199,099.44 and 48,513.69 is: 72,726.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,813 : 199,099.44 = 48,513.69 : x
  2. Step 2: Convert to fraction form
    132,813/199,099.44 = 48,513.69/x
  3. Step 3: Cross multiply
    132,813x = 199,099.44 × 48,513.69
  4. Step 4: Simplify right side
    132,813x = 9,659,048,511.33
  5. Step 5: Solve for x
    x = 9,659,048,511.33/132,813
  6. Step 6: Final answer
    x = 72,726.68

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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.