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Finding the Fourth Proportional to 216,112.82, 323,947.52 and 82,957.22

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Solution

The fourth proportional to 216,112.82, 323,947.52 and 82,957.22 is: 124,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,112.82 : 323,947.52 = 82,957.22 : x
  2. Step 2: Convert to fraction form
    216,112.82/323,947.52 = 82,957.22/x
  3. Step 3: Cross multiply
    216,112.82x = 323,947.52 × 82,957.22
  4. Step 4: Simplify right side
    216,112.82x = 26,873,784,272.75
  5. Step 5: Solve for x
    x = 26,873,784,272.75/216,112.82
  6. Step 6: Final answer
    x = 124,350.72

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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.