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Finding the Fourth Proportional to 132,893.37, 199,412.96 and 53,986.41

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Solution

The fourth proportional to 132,893.37, 199,412.96 and 53,986.41 is: 81,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,893.37 : 199,412.96 = 53,986.41 : x
  2. Step 2: Convert to fraction form
    132,893.37/199,412.96 = 53,986.41/x
  3. Step 3: Cross multiply
    132,893.37x = 199,412.96 × 53,986.41
  4. Step 4: Simplify right side
    132,893.37x = 10,765,589,547.94
  5. Step 5: Solve for x
    x = 10,765,589,547.94/132,893.37
  6. Step 6: Final answer
    x = 81,009.23

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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.