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Finding the Fourth Proportional to 136,806.84, 205,231.86 and 52,563.64

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Solution

The fourth proportional to 136,806.84, 205,231.86 and 52,563.64 is: 78,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,806.84 : 205,231.86 = 52,563.64 : x
  2. Step 2: Convert to fraction form
    136,806.84/205,231.86 = 52,563.64/x
  3. Step 3: Cross multiply
    136,806.84x = 205,231.86 × 52,563.64
  4. Step 4: Simplify right side
    136,806.84x = 10,787,733,605.57
  5. Step 5: Solve for x
    x = 10,787,733,605.57/136,806.84
  6. Step 6: Final answer
    x = 78,853.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.