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Finding the Fourth Proportional to 80,192.40, 120,255.48 and 30,264

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Solution

The fourth proportional to 80,192.40, 120,255.48 and 30,264 is: 45,383.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,192.40 : 120,255.48 = 30,264 : x
  2. Step 2: Convert to fraction form
    80,192.40/120,255.48 = 30,264/x
  3. Step 3: Cross multiply
    80,192.40x = 120,255.48 × 30,264
  4. Step 4: Simplify right side
    80,192.40x = 3,639,411,846.72
  5. Step 5: Solve for x
    x = 3,639,411,846.72/80,192.40
  6. Step 6: Final answer
    x = 45,383.50

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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.