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Finding the Fourth Proportional to 110,400.30, 165,600.45 and 55,104.30

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Solution

The fourth proportional to 110,400.30, 165,600.45 and 55,104.30 is: 82,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,400.30 : 165,600.45 = 55,104.30 : x
  2. Step 2: Convert to fraction form
    110,400.30/165,600.45 = 55,104.30/x
  3. Step 3: Cross multiply
    110,400.30x = 165,600.45 × 55,104.30
  4. Step 4: Simplify right side
    110,400.30x = 9,125,296,876.94
  5. Step 5: Solve for x
    x = 9,125,296,876.94/110,400.30
  6. Step 6: Final answer
    x = 82,656.45

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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.