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Finding the Fourth Proportional to 192,835.42, 289,223.43 and 52,604.98

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Solution

The fourth proportional to 192,835.42, 289,223.43 and 52,604.98 is: 78,899.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,835.42 : 289,223.43 = 52,604.98 : x
  2. Step 2: Convert to fraction form
    192,835.42/289,223.43 = 52,604.98/x
  3. Step 3: Cross multiply
    192,835.42x = 289,223.43 × 52,604.98
  4. Step 4: Simplify right side
    192,835.42x = 15,214,592,750.68
  5. Step 5: Solve for x
    x = 15,214,592,750.68/192,835.42
  6. Step 6: Final answer
    x = 78,899.37

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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.