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Finding the Fourth Proportional to 159,257.38, 219,784.24 and 91,285.64

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Solution

The fourth proportional to 159,257.38, 219,784.24 and 91,285.64 is: 125,979.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,257.38 : 219,784.24 = 91,285.64 : x
  2. Step 2: Convert to fraction form
    159,257.38/219,784.24 = 91,285.64/x
  3. Step 3: Cross multiply
    159,257.38x = 219,784.24 × 91,285.64
  4. Step 4: Simplify right side
    159,257.38x = 20,063,145,010.31
  5. Step 5: Solve for x
    x = 20,063,145,010.31/159,257.38
  6. Step 6: Final answer
    x = 125,979.37

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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.