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Finding the Fourth Proportional to 243,142.38, 335,553.39 and 135,733.38

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Solution

The fourth proportional to 243,142.38, 335,553.39 and 135,733.38 is: 187,321.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,142.38 : 335,553.39 = 135,733.38 : x
  2. Step 2: Convert to fraction form
    243,142.38/335,553.39 = 135,733.38/x
  3. Step 3: Cross multiply
    243,142.38x = 335,553.39 × 135,733.38
  4. Step 4: Simplify right side
    243,142.38x = 45,545,795,795.16
  5. Step 5: Solve for x
    x = 45,545,795,795.16/243,142.38
  6. Step 6: Final answer
    x = 187,321.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.