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Finding the Fourth Proportional to 193,029.50, 289,660.90 and 82,221.50

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Solution

The fourth proportional to 193,029.50, 289,660.90 and 82,221.50 is: 123,381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,029.50 : 289,660.90 = 82,221.50 : x
  2. Step 2: Convert to fraction form
    193,029.50/289,660.90 = 82,221.50/x
  3. Step 3: Cross multiply
    193,029.50x = 289,660.90 × 82,221.50
  4. Step 4: Simplify right side
    193,029.50x = 23,816,353,689.35
  5. Step 5: Solve for x
    x = 23,816,353,689.35/193,029.50
  6. Step 6: Final answer
    x = 123,381.94

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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.