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Finding the Fourth Proportional to 140,052.92, 193,367.67 and 107,730.14

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Solution

The fourth proportional to 140,052.92, 193,367.67 and 107,730.14 is: 148,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,052.92 : 193,367.67 = 107,730.14 : x
  2. Step 2: Convert to fraction form
    140,052.92/193,367.67 = 107,730.14/x
  3. Step 3: Cross multiply
    140,052.92x = 193,367.67 × 107,730.14
  4. Step 4: Simplify right side
    140,052.92x = 20,831,526,160.57
  5. Step 5: Solve for x
    x = 20,831,526,160.57/140,052.92
  6. Step 6: Final answer
    x = 148,740.39

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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.