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Finding the Fourth Proportional to 264,138.94, 396,193.82 and 193,134.34

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Solution

The fourth proportional to 264,138.94, 396,193.82 and 193,134.34 is: 289,690.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,138.94 : 396,193.82 = 193,134.34 : x
  2. Step 2: Convert to fraction form
    264,138.94/396,193.82 = 193,134.34/x
  3. Step 3: Cross multiply
    264,138.94x = 396,193.82 × 193,134.34
  4. Step 4: Simplify right side
    264,138.94x = 76,518,631,937.78
  5. Step 5: Solve for x
    x = 76,518,631,937.78/264,138.94
  6. Step 6: Final answer
    x = 289,690.84

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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.