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Finding the Fourth Proportional to 221,415.30, 332,122.95 and 206,543.70

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Solution

The fourth proportional to 221,415.30, 332,122.95 and 206,543.70 is: 309,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,415.30 : 332,122.95 = 206,543.70 : x
  2. Step 2: Convert to fraction form
    221,415.30/332,122.95 = 206,543.70/x
  3. Step 3: Cross multiply
    221,415.30x = 332,122.95 × 206,543.70
  4. Step 4: Simplify right side
    221,415.30x = 68,597,902,947.92
  5. Step 5: Solve for x
    x = 68,597,902,947.92/221,415.30
  6. Step 6: Final answer
    x = 309,815.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.