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Finding the Fourth Proportional to 224,512.76, 336,813.51 and 82,359.36

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Solution

The fourth proportional to 224,512.76, 336,813.51 and 82,359.36 is: 123,555.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,512.76 : 336,813.51 = 82,359.36 : x
  2. Step 2: Convert to fraction form
    224,512.76/336,813.51 = 82,359.36/x
  3. Step 3: Cross multiply
    224,512.76x = 336,813.51 × 82,359.36
  4. Step 4: Simplify right side
    224,512.76x = 27,739,745,122.95
  5. Step 5: Solve for x
    x = 27,739,745,122.95/224,512.76
  6. Step 6: Final answer
    x = 123,555.32

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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.