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Finding the Fourth Proportional to 216,114.94, 323,950.74 and 82,959.31

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Solution

The fourth proportional to 216,114.94, 323,950.74 and 82,959.31 is: 124,353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,114.94 : 323,950.74 = 82,959.31 : x
  2. Step 2: Convert to fraction form
    216,114.94/323,950.74 = 82,959.31/x
  3. Step 3: Cross multiply
    216,114.94x = 323,950.74 × 82,959.31
  4. Step 4: Simplify right side
    216,114.94x = 26,874,729,864.39
  5. Step 5: Solve for x
    x = 26,874,729,864.39/216,114.94
  6. Step 6: Final answer
    x = 124,353.87

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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.