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Finding the Fourth Proportional to 182,206.60, 273,212.70 and 76,906.60

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Solution

The fourth proportional to 182,206.60, 273,212.70 and 76,906.60 is: 115,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,206.60 : 273,212.70 = 76,906.60 : x
  2. Step 2: Convert to fraction form
    182,206.60/273,212.70 = 76,906.60/x
  3. Step 3: Cross multiply
    182,206.60x = 273,212.70 × 76,906.60
  4. Step 4: Simplify right side
    182,206.60x = 21,011,859,833.82
  5. Step 5: Solve for x
    x = 21,011,859,833.82/182,206.60
  6. Step 6: Final answer
    x = 115,318.87

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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.