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Finding the Fourth Proportional to 132,994.56, 199,565.28 and 54,164.28

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Solution

The fourth proportional to 132,994.56, 199,565.28 and 54,164.28 is: 81,276.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,994.56 : 199,565.28 = 54,164.28 : x
  2. Step 2: Convert to fraction form
    132,994.56/199,565.28 = 54,164.28/x
  3. Step 3: Cross multiply
    132,994.56x = 199,565.28 × 54,164.28
  4. Step 4: Simplify right side
    132,994.56x = 10,809,309,704.20
  5. Step 5: Solve for x
    x = 10,809,309,704.20/132,994.56
  6. Step 6: Final answer
    x = 81,276.33

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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.