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Finding the Fourth Proportional to 206,922.45, 310,600.86 and 183,380.61

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Solution

The fourth proportional to 206,922.45, 310,600.86 and 183,380.61 is: 275,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,922.45 : 310,600.86 = 183,380.61 : x
  2. Step 2: Convert to fraction form
    206,922.45/310,600.86 = 183,380.61/x
  3. Step 3: Cross multiply
    206,922.45x = 310,600.86 × 183,380.61
  4. Step 4: Simplify right side
    206,922.45x = 56,958,175,173.32
  5. Step 5: Solve for x
    x = 56,958,175,173.32/206,922.45
  6. Step 6: Final answer
    x = 275,263.39

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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.