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Finding the Fourth Proportional to 192,435.38, 288,700.14 and 135,620.14

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Solution

The fourth proportional to 192,435.38, 288,700.14 and 135,620.14 is: 203,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,435.38 : 288,700.14 = 135,620.14 : x
  2. Step 2: Convert to fraction form
    192,435.38/288,700.14 = 135,620.14/x
  3. Step 3: Cross multiply
    192,435.38x = 288,700.14 × 135,620.14
  4. Step 4: Simplify right side
    192,435.38x = 39,153,553,257.12
  5. Step 5: Solve for x
    x = 39,153,553,257.12/192,435.38
  6. Step 6: Final answer
    x = 203,463.38

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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.