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Finding the Fourth Proportional to 132,797.18, 199,216.52 and 53,916.96

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Solution

The fourth proportional to 132,797.18, 199,216.52 and 53,916.96 is: 80,883.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,797.18 : 199,216.52 = 53,916.96 : x
  2. Step 2: Convert to fraction form
    132,797.18/199,216.52 = 53,916.96/x
  3. Step 3: Cross multiply
    132,797.18x = 199,216.52 × 53,916.96
  4. Step 4: Simplify right side
    132,797.18x = 10,741,149,140.18
  5. Step 5: Solve for x
    x = 10,741,149,140.18/132,797.18
  6. Step 6: Final answer
    x = 80,883.86

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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.