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Finding the Fourth Proportional to 102,099.60, 140,902.92 and 59,682.96

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Solution

The fourth proportional to 102,099.60, 140,902.92 and 59,682.96 is: 82,365.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.60 : 140,902.92 = 59,682.96 : x
  2. Step 2: Convert to fraction form
    102,099.60/140,902.92 = 59,682.96/x
  3. Step 3: Cross multiply
    102,099.60x = 140,902.92 × 59,682.96
  4. Step 4: Simplify right side
    102,099.60x = 8,409,503,338.24
  5. Step 5: Solve for x
    x = 8,409,503,338.24/102,099.60
  6. Step 6: Final answer
    x = 82,365.68

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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.