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Finding the Fourth Proportional to 199,082.60, 298,710.30 and 100,586.60

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Solution

The fourth proportional to 199,082.60, 298,710.30 and 100,586.60 is: 150,923.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,082.60 : 298,710.30 = 100,586.60 : x
  2. Step 2: Convert to fraction form
    199,082.60/298,710.30 = 100,586.60/x
  3. Step 3: Cross multiply
    199,082.60x = 298,710.30 × 100,586.60
  4. Step 4: Simplify right side
    199,082.60x = 30,046,253,461.98
  5. Step 5: Solve for x
    x = 30,046,253,461.98/199,082.60
  6. Step 6: Final answer
    x = 150,923.55

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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.