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Finding the Fourth Proportional to 216,115.32, 323,951.27 and 82,959.72

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Solution

The fourth proportional to 216,115.32, 323,951.27 and 82,959.72 is: 124,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,115.32 : 323,951.27 = 82,959.72 : x
  2. Step 2: Convert to fraction form
    216,115.32/323,951.27 = 82,959.72/x
  3. Step 3: Cross multiply
    216,115.32x = 323,951.27 × 82,959.72
  4. Step 4: Simplify right side
    216,115.32x = 26,874,905,033.09
  5. Step 5: Solve for x
    x = 26,874,905,033.09/216,115.32
  6. Step 6: Final answer
    x = 124,354.47

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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.