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Finding the Fourth Proportional to 182,113.75, 272,936.83 and 87,201.71

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Solution

The fourth proportional to 182,113.75, 272,936.83 and 87,201.71 is: 130,690.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,113.75 : 272,936.83 = 87,201.71 : x
  2. Step 2: Convert to fraction form
    182,113.75/272,936.83 = 87,201.71/x
  3. Step 3: Cross multiply
    182,113.75x = 272,936.83 × 87,201.71
  4. Step 4: Simplify right side
    182,113.75x = 23,800,558,297.98
  5. Step 5: Solve for x
    x = 23,800,558,297.98/182,113.75
  6. Step 6: Final answer
    x = 130,690.62

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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.