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Finding the Fourth Proportional to 248,917.38, 343,505.34 and 135,740.16

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Solution

The fourth proportional to 248,917.38, 343,505.34 and 135,740.16 is: 187,321.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,917.38 : 343,505.34 = 135,740.16 : x
  2. Step 2: Convert to fraction form
    248,917.38/343,505.34 = 135,740.16/x
  3. Step 3: Cross multiply
    248,917.38x = 343,505.34 × 135,740.16
  4. Step 4: Simplify right side
    248,917.38x = 46,627,469,812.45
  5. Step 5: Solve for x
    x = 46,627,469,812.45/248,917.38
  6. Step 6: Final answer
    x = 187,321.07

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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.