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Finding the Fourth Proportional to 272,037.44, 408,056.24 and 82,497.44

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Solution

The fourth proportional to 272,037.44, 408,056.24 and 82,497.44 is: 123,746.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,037.44 : 408,056.24 = 82,497.44 : x
  2. Step 2: Convert to fraction form
    272,037.44/408,056.24 = 82,497.44/x
  3. Step 3: Cross multiply
    272,037.44x = 408,056.24 × 82,497.44
  4. Step 4: Simplify right side
    272,037.44x = 33,663,595,176.03
  5. Step 5: Solve for x
    x = 33,663,595,176.03/272,037.44
  6. Step 6: Final answer
    x = 123,746.18

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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.