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Finding the Fourth Proportional to 159,771.22, 239,656.91 and 54,591.22

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Solution

The fourth proportional to 159,771.22, 239,656.91 and 54,591.22 is: 81,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,771.22 : 239,656.91 = 54,591.22 : x
  2. Step 2: Convert to fraction form
    159,771.22/239,656.91 = 54,591.22/x
  3. Step 3: Cross multiply
    159,771.22x = 239,656.91 × 54,591.22
  4. Step 4: Simplify right side
    159,771.22x = 13,083,163,098.33
  5. Step 5: Solve for x
    x = 13,083,163,098.33/159,771.22
  6. Step 6: Final answer
    x = 81,886.86

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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.