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Finding the Fourth Proportional to 110,568.60, 165,682.80 and 82,356.30

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Solution

The fourth proportional to 110,568.60, 165,682.80 and 82,356.30 is: 123,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,568.60 : 165,682.80 = 82,356.30 : x
  2. Step 2: Convert to fraction form
    110,568.60/165,682.80 = 82,356.30/x
  3. Step 3: Cross multiply
    110,568.60x = 165,682.80 × 82,356.30
  4. Step 4: Simplify right side
    110,568.60x = 13,645,022,381.64
  5. Step 5: Solve for x
    x = 13,645,022,381.64/110,568.60
  6. Step 6: Final answer
    x = 123,407.75

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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.