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Finding the Fourth Proportional to 204,491.20, 306,080.70 and 145,442.20

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Solution

The fourth proportional to 204,491.20, 306,080.70 and 145,442.20 is: 217,696.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,491.20 : 306,080.70 = 145,442.20 : x
  2. Step 2: Convert to fraction form
    204,491.20/306,080.70 = 145,442.20/x
  3. Step 3: Cross multiply
    204,491.20x = 306,080.70 × 145,442.20
  4. Step 4: Simplify right side
    204,491.20x = 44,517,050,385.54
  5. Step 5: Solve for x
    x = 44,517,050,385.54/204,491.20
  6. Step 6: Final answer
    x = 217,696.66

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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.