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Finding the Fourth Proportional to 215,842.56, 323,764.20 and 58,066.80

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Solution

The fourth proportional to 215,842.56, 323,764.20 and 58,066.80 is: 87,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,842.56 : 323,764.20 = 58,066.80 : x
  2. Step 2: Convert to fraction form
    215,842.56/323,764.20 = 58,066.80/x
  3. Step 3: Cross multiply
    215,842.56x = 323,764.20 × 58,066.80
  4. Step 4: Simplify right side
    215,842.56x = 18,799,951,048.56
  5. Step 5: Solve for x
    x = 18,799,951,048.56/215,842.56
  6. Step 6: Final answer
    x = 87,100.30

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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.