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Finding the Fourth Proportional to 110,736.64, 165,988.32 and 55,216

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Solution

The fourth proportional to 110,736.64, 165,988.32 and 55,216 is: 82,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,736.64 : 165,988.32 = 55,216 : x
  2. Step 2: Convert to fraction form
    110,736.64/165,988.32 = 55,216/x
  3. Step 3: Cross multiply
    110,736.64x = 165,988.32 × 55,216
  4. Step 4: Simplify right side
    110,736.64x = 9,165,211,077.12
  5. Step 5: Solve for x
    x = 9,165,211,077.12/110,736.64
  6. Step 6: Final answer
    x = 82,765.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.