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Finding the Fourth Proportional to 120,076.20, 165,663.36 and 74,727.54

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Solution

The fourth proportional to 120,076.20, 165,663.36 and 74,727.54 is: 103,097.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,076.20 : 165,663.36 = 74,727.54 : x
  2. Step 2: Convert to fraction form
    120,076.20/165,663.36 = 74,727.54/x
  3. Step 3: Cross multiply
    120,076.20x = 165,663.36 × 74,727.54
  4. Step 4: Simplify right side
    120,076.20x = 12,379,615,360.93
  5. Step 5: Solve for x
    x = 12,379,615,360.93/120,076.20
  6. Step 6: Final answer
    x = 103,097.99

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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.