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Finding the Fourth Proportional to 147,882.20, 204,077.43 and 80,814.20

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Solution

The fourth proportional to 147,882.20, 204,077.43 and 80,814.20 is: 111,523.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,882.20 : 204,077.43 = 80,814.20 : x
  2. Step 2: Convert to fraction form
    147,882.20/204,077.43 = 80,814.20/x
  3. Step 3: Cross multiply
    147,882.20x = 204,077.43 × 80,814.20
  4. Step 4: Simplify right side
    147,882.20x = 16,492,353,223.12
  5. Step 5: Solve for x
    x = 16,492,353,223.12/147,882.20
  6. Step 6: Final answer
    x = 111,523.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.