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Finding the Fourth Proportional to 204,671.20, 306,715.20 and 150,943.90

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Solution

The fourth proportional to 204,671.20, 306,715.20 and 150,943.90 is: 226,200.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671.20 : 306,715.20 = 150,943.90 : x
  2. Step 2: Convert to fraction form
    204,671.20/306,715.20 = 150,943.90/x
  3. Step 3: Cross multiply
    204,671.20x = 306,715.20 × 150,943.90
  4. Step 4: Simplify right side
    204,671.20x = 46,296,788,477.28
  5. Step 5: Solve for x
    x = 46,296,788,477.28/204,671.20
  6. Step 6: Final answer
    x = 226,200.80

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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.