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Finding the Fourth Proportional to 159,059.76, 238,583.40 and 53,878.72

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Solution

The fourth proportional to 159,059.76, 238,583.40 and 53,878.72 is: 80,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,059.76 : 238,583.40 = 53,878.72 : x
  2. Step 2: Convert to fraction form
    159,059.76/238,583.40 = 53,878.72/x
  3. Step 3: Cross multiply
    159,059.76x = 238,583.40 × 53,878.72
  4. Step 4: Simplify right side
    159,059.76x = 12,854,568,205.25
  5. Step 5: Solve for x
    x = 12,854,568,205.25/159,059.76
  6. Step 6: Final answer
    x = 80,815.97

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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.