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Finding the Fourth Proportional to 159,060.32, 238,584.24 and 53,879.28

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Solution

The fourth proportional to 159,060.32, 238,584.24 and 53,879.28 is: 80,816.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,060.32 : 238,584.24 = 53,879.28 : x
  2. Step 2: Convert to fraction form
    159,060.32/238,584.24 = 53,879.28/x
  3. Step 3: Cross multiply
    159,060.32x = 238,584.24 × 53,879.28
  4. Step 4: Simplify right side
    159,060.32x = 12,854,747,801.71
  5. Step 5: Solve for x
    x = 12,854,747,801.71/159,060.32
  6. Step 6: Final answer
    x = 80,816.81

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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.