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Finding the Fourth Proportional to 193,177.20, 289,420.20 and 165,529.20

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Solution

The fourth proportional to 193,177.20, 289,420.20 and 165,529.20 is: 247,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,177.20 : 289,420.20 = 165,529.20 : x
  2. Step 2: Convert to fraction form
    193,177.20/289,420.20 = 165,529.20/x
  3. Step 3: Cross multiply
    193,177.20x = 289,420.20 × 165,529.20
  4. Step 4: Simplify right side
    193,177.20x = 47,907,494,169.84
  5. Step 5: Solve for x
    x = 47,907,494,169.84/193,177.20
  6. Step 6: Final answer
    x = 247,997.66

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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.