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Finding the Fourth Proportional to 216,113.94, 323,949.24 and 82,958.31

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Solution

The fourth proportional to 216,113.94, 323,949.24 and 82,958.31 is: 124,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,113.94 : 323,949.24 = 82,958.31 : x
  2. Step 2: Convert to fraction form
    216,113.94/323,949.24 = 82,958.31/x
  3. Step 3: Cross multiply
    216,113.94x = 323,949.24 × 82,958.31
  4. Step 4: Simplify right side
    216,113.94x = 26,874,281,476.18
  5. Step 5: Solve for x
    x = 26,874,281,476.18/216,113.94
  6. Step 6: Final answer
    x = 124,352.37

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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.