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Finding the Fourth Proportional to 192,796.68, 289,148.42 and 74,392.50

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Solution

The fourth proportional to 192,796.68, 289,148.42 and 74,392.50 is: 111,570.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,796.68 : 289,148.42 = 74,392.50 : x
  2. Step 2: Convert to fraction form
    192,796.68/289,148.42 = 74,392.50/x
  3. Step 3: Cross multiply
    192,796.68x = 289,148.42 × 74,392.50
  4. Step 4: Simplify right side
    192,796.68x = 21,510,473,834.85
  5. Step 5: Solve for x
    x = 21,510,473,834.85/192,796.68
  6. Step 6: Final answer
    x = 111,570.77

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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.