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Finding the Fourth Proportional to 151,594.56, 209,257.92 and 119,245.44

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Solution

The fourth proportional to 151,594.56, 209,257.92 and 119,245.44 is: 164,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,594.56 : 209,257.92 = 119,245.44 : x
  2. Step 2: Convert to fraction form
    151,594.56/209,257.92 = 119,245.44/x
  3. Step 3: Cross multiply
    151,594.56x = 209,257.92 × 119,245.44
  4. Step 4: Simplify right side
    151,594.56x = 24,953,052,743.88
  5. Step 5: Solve for x
    x = 24,953,052,743.88/151,594.56
  6. Step 6: Final answer
    x = 164,603.88

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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.