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Finding the Fourth Proportional to 188,822.70, 283,234.05 and 179,637.30

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Solution

The fourth proportional to 188,822.70, 283,234.05 and 179,637.30 is: 269,455.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,822.70 : 283,234.05 = 179,637.30 : x
  2. Step 2: Convert to fraction form
    188,822.70/283,234.05 = 179,637.30/x
  3. Step 3: Cross multiply
    188,822.70x = 283,234.05 × 179,637.30
  4. Step 4: Simplify right side
    188,822.70x = 50,879,400,010.07
  5. Step 5: Solve for x
    x = 50,879,400,010.07/188,822.70
  6. Step 6: Final answer
    x = 269,455.95

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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.