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Finding the Fourth Proportional to 119,909.44, 179,861.24 and 31,162.64

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Solution

The fourth proportional to 119,909.44, 179,861.24 and 31,162.64 is: 46,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,909.44 : 179,861.24 = 31,162.64 : x
  2. Step 2: Convert to fraction form
    119,909.44/179,861.24 = 31,162.64/x
  3. Step 3: Cross multiply
    119,909.44x = 179,861.24 × 31,162.64
  4. Step 4: Simplify right side
    119,909.44x = 5,604,951,072.07
  5. Step 5: Solve for x
    x = 5,604,951,072.07/119,909.44
  6. Step 6: Final answer
    x = 46,743.20

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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.