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Finding the Fourth Proportional to 193,409.20, 289,768.20 and 165,761.20

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Solution

The fourth proportional to 193,409.20, 289,768.20 and 165,761.20 is: 248,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,409.20 : 289,768.20 = 165,761.20 : x
  2. Step 2: Convert to fraction form
    193,409.20/289,768.20 = 165,761.20/x
  3. Step 3: Cross multiply
    193,409.20x = 289,768.20 × 165,761.20
  4. Step 4: Simplify right side
    193,409.20x = 48,032,324,553.84
  5. Step 5: Solve for x
    x = 48,032,324,553.84/193,409.20
  6. Step 6: Final answer
    x = 248,345.60

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1.5x scale

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.