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Finding the Fourth Proportional to 192,836.42, 289,224.93 and 52,605.98

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Solution

The fourth proportional to 192,836.42, 289,224.93 and 52,605.98 is: 78,900.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,836.42 : 289,224.93 = 52,605.98 : x
  2. Step 2: Convert to fraction form
    192,836.42/289,224.93 = 52,605.98/x
  3. Step 3: Cross multiply
    192,836.42x = 289,224.93 × 52,605.98
  4. Step 4: Simplify right side
    192,836.42x = 15,214,960,883.08
  5. Step 5: Solve for x
    x = 15,214,960,883.08/192,836.42
  6. Step 6: Final answer
    x = 78,900.87

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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.