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Finding the Fourth Proportional to 204,469.92, 306,767.43 and 104,700.70

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Solution

The fourth proportional to 204,469.92, 306,767.43 and 104,700.70 is: 157,083.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,469.92 : 306,767.43 = 104,700.70 : x
  2. Step 2: Convert to fraction form
    204,469.92/306,767.43 = 104,700.70/x
  3. Step 3: Cross multiply
    204,469.92x = 306,767.43 × 104,700.70
  4. Step 4: Simplify right side
    204,469.92x = 32,118,764,658.20
  5. Step 5: Solve for x
    x = 32,118,764,658.20/204,469.92
  6. Step 6: Final answer
    x = 157,083.08

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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.