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Finding the Fourth Proportional to 204,951.70, 307,427.55 and 189,205.30

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Solution

The fourth proportional to 204,951.70, 307,427.55 and 189,205.30 is: 283,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,951.70 : 307,427.55 = 189,205.30 : x
  2. Step 2: Convert to fraction form
    204,951.70/307,427.55 = 189,205.30/x
  3. Step 3: Cross multiply
    204,951.70x = 307,427.55 × 189,205.30
  4. Step 4: Simplify right side
    204,951.70x = 58,166,921,826.02
  5. Step 5: Solve for x
    x = 58,166,921,826.02/204,951.70
  6. Step 6: Final answer
    x = 283,807.95

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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.