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Finding the Fourth Proportional to 192,682.80, 289,024.20 and 52,441.20

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Solution

The fourth proportional to 192,682.80, 289,024.20 and 52,441.20 is: 78,661.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,682.80 : 289,024.20 = 52,441.20 : x
  2. Step 2: Convert to fraction form
    192,682.80/289,024.20 = 52,441.20/x
  3. Step 3: Cross multiply
    192,682.80x = 289,024.20 × 52,441.20
  4. Step 4: Simplify right side
    192,682.80x = 15,156,775,877.04
  5. Step 5: Solve for x
    x = 15,156,775,877.04/192,682.80
  6. Step 6: Final answer
    x = 78,661.80

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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.