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Finding the Fourth Proportional to 136,604.45, 204,857.46 and 57,724.85

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Solution

The fourth proportional to 136,604.45, 204,857.46 and 57,724.85 is: 86,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,604.45 : 204,857.46 = 57,724.85 : x
  2. Step 2: Convert to fraction form
    136,604.45/204,857.46 = 57,724.85/x
  3. Step 3: Cross multiply
    136,604.45x = 204,857.46 × 57,724.85
  4. Step 4: Simplify right side
    136,604.45x = 11,825,365,125.59
  5. Step 5: Solve for x
    x = 11,825,365,125.59/136,604.45
  6. Step 6: Final answer
    x = 86,566.47

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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.