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Finding the Fourth Proportional to 193,671.67, 289,615.68 and 184,223.83

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Solution

The fourth proportional to 193,671.67, 289,615.68 and 184,223.83 is: 275,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,671.67 : 289,615.68 = 184,223.83 : x
  2. Step 2: Convert to fraction form
    193,671.67/289,615.68 = 184,223.83/x
  3. Step 3: Cross multiply
    193,671.67x = 289,615.68 × 184,223.83
  4. Step 4: Simplify right side
    193,671.67x = 53,354,109,797.65
  5. Step 5: Solve for x
    x = 53,354,109,797.65/193,671.67
  6. Step 6: Final answer
    x = 275,487.43

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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.