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Finding the Fourth Proportional to 243,311.38, 335,721 and 135,864.88

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Solution

The fourth proportional to 243,311.38, 335,721 and 135,864.88 is: 187,466.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,311.38 : 335,721 = 135,864.88 : x
  2. Step 2: Convert to fraction form
    243,311.38/335,721 = 135,864.88/x
  3. Step 3: Cross multiply
    243,311.38x = 335,721 × 135,864.88
  4. Step 4: Simplify right side
    243,311.38x = 45,612,693,378.48
  5. Step 5: Solve for x
    x = 45,612,693,378.48/243,311.38
  6. Step 6: Final answer
    x = 187,466.34

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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.