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Finding the Fourth Proportional to 159,059.26, 238,582.65 and 53,878.22

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Solution

The fourth proportional to 159,059.26, 238,582.65 and 53,878.22 is: 80,815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,059.26 : 238,582.65 = 53,878.22 : x
  2. Step 2: Convert to fraction form
    159,059.26/238,582.65 = 53,878.22/x
  3. Step 3: Cross multiply
    159,059.26x = 238,582.65 × 53,878.22
  4. Step 4: Simplify right side
    159,059.26x = 12,854,408,504.88
  5. Step 5: Solve for x
    x = 12,854,408,504.88/159,059.26
  6. Step 6: Final answer
    x = 80,815.22

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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.