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Finding the Fourth Proportional to 132,993, 199,527 and 54,163.80

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Solution

The fourth proportional to 132,993, 199,527 and 54,163.80 is: 81,260.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,993 : 199,527 = 54,163.80 : x
  2. Step 2: Convert to fraction form
    132,993/199,527 = 54,163.80/x
  3. Step 3: Cross multiply
    132,993x = 199,527 × 54,163.80
  4. Step 4: Simplify right side
    132,993x = 10,807,140,522.60
  5. Step 5: Solve for x
    x = 10,807,140,522.60/132,993
  6. Step 6: Final answer
    x = 81,260.97

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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.