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Finding the Fourth Proportional to 243,214.56, 335,692.08 and 142,644.96

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Solution

The fourth proportional to 243,214.56, 335,692.08 and 142,644.96 is: 196,882.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,214.56 : 335,692.08 = 142,644.96 : x
  2. Step 2: Convert to fraction form
    243,214.56/335,692.08 = 142,644.96/x
  3. Step 3: Cross multiply
    243,214.56x = 335,692.08 × 142,644.96
  4. Step 4: Simplify right side
    243,214.56x = 47,884,783,323.92
  5. Step 5: Solve for x
    x = 47,884,783,323.92/243,214.56
  6. Step 6: Final answer
    x = 196,882.88

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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.