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Finding the Fourth Proportional to 192,796.20, 289,064.70 and 102,853.80

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Solution

The fourth proportional to 192,796.20, 289,064.70 and 102,853.80 is: 154,211.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,796.20 : 289,064.70 = 102,853.80 : x
  2. Step 2: Convert to fraction form
    192,796.20/289,064.70 = 102,853.80/x
  3. Step 3: Cross multiply
    192,796.20x = 289,064.70 × 102,853.80
  4. Step 4: Simplify right side
    192,796.20x = 29,731,402,840.86
  5. Step 5: Solve for x
    x = 29,731,402,840.86/192,796.20
  6. Step 6: Final answer
    x = 154,211.56

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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.