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Finding the Fourth Proportional to 80,141.35, 120,206.34 and 27,549.67

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Solution

The fourth proportional to 80,141.35, 120,206.34 and 27,549.67 is: 41,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,141.35 : 120,206.34 = 27,549.67 : x
  2. Step 2: Convert to fraction form
    80,141.35/120,206.34 = 27,549.67/x
  3. Step 3: Cross multiply
    80,141.35x = 120,206.34 × 27,549.67
  4. Step 4: Simplify right side
    80,141.35x = 3,311,644,998.91
  5. Step 5: Solve for x
    x = 3,311,644,998.91/80,141.35
  6. Step 6: Final answer
    x = 41,322.55

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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.