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Finding the Fourth Proportional to 110,390.60, 165,415.80 and 82,178.30

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Solution

The fourth proportional to 110,390.60, 165,415.80 and 82,178.30 is: 123,140.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,390.60 : 165,415.80 = 82,178.30 : x
  2. Step 2: Convert to fraction form
    110,390.60/165,415.80 = 82,178.30/x
  3. Step 3: Cross multiply
    110,390.60x = 165,415.80 × 82,178.30
  4. Step 4: Simplify right side
    110,390.60x = 13,593,589,237.14
  5. Step 5: Solve for x
    x = 13,593,589,237.14/110,390.60
  6. Step 6: Final answer
    x = 123,140.82

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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.