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Finding the Fourth Proportional to 136,264.84, 188,049.54 and 82,559.68

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Solution

The fourth proportional to 136,264.84, 188,049.54 and 82,559.68 is: 113,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,264.84 : 188,049.54 = 82,559.68 : x
  2. Step 2: Convert to fraction form
    136,264.84/188,049.54 = 82,559.68/x
  3. Step 3: Cross multiply
    136,264.84x = 188,049.54 × 82,559.68
  4. Step 4: Simplify right side
    136,264.84x = 15,525,309,846.55
  5. Step 5: Solve for x
    x = 15,525,309,846.55/136,264.84
  6. Step 6: Final answer
    x = 113,934.82

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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.