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Finding the Fourth Proportional to 99,906.40, 137,880.19 and 54,591.09

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Solution

The fourth proportional to 99,906.40, 137,880.19 and 54,591.09 is: 75,340.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,906.40 : 137,880.19 = 54,591.09 : x
  2. Step 2: Convert to fraction form
    99,906.40/137,880.19 = 54,591.09/x
  3. Step 3: Cross multiply
    99,906.40x = 137,880.19 × 54,591.09
  4. Step 4: Simplify right side
    99,906.40x = 7,527,030,188.27
  5. Step 5: Solve for x
    x = 7,527,030,188.27/99,906.40
  6. Step 6: Final answer
    x = 75,340.82

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Why These Related Problems?

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