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Finding the Fourth Proportional to 120,088.44, 165,789.54 and 79,857

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Solution

The fourth proportional to 120,088.44, 165,789.54 and 79,857 is: 110,247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,088.44 : 165,789.54 = 79,857 : x
  2. Step 2: Convert to fraction form
    120,088.44/165,789.54 = 79,857/x
  3. Step 3: Cross multiply
    120,088.44x = 165,789.54 × 79,857
  4. Step 4: Simplify right side
    120,088.44x = 13,239,455,295.78
  5. Step 5: Solve for x
    x = 13,239,455,295.78/120,088.44
  6. Step 6: Final answer
    x = 110,247.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.