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Finding the Fourth Proportional to 284,891.56, 392,765.61 and 182,739.67

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Solution

The fourth proportional to 284,891.56, 392,765.61 and 182,739.67 is: 251,933.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,891.56 : 392,765.61 = 182,739.67 : x
  2. Step 2: Convert to fraction form
    284,891.56/392,765.61 = 182,739.67/x
  3. Step 3: Cross multiply
    284,891.56x = 392,765.61 × 182,739.67
  4. Step 4: Simplify right side
    284,891.56x = 71,773,857,958.75
  5. Step 5: Solve for x
    x = 71,773,857,958.75/284,891.56
  6. Step 6: Final answer
    x = 251,933.96

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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.