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Finding the Fourth Proportional to 230,846.62, 346,379.60 and 159,878.48

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Solution

The fourth proportional to 230,846.62, 346,379.60 and 159,878.48 is: 239,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,846.62 : 346,379.60 = 159,878.48 : x
  2. Step 2: Convert to fraction form
    230,846.62/346,379.60 = 159,878.48/x
  3. Step 3: Cross multiply
    230,846.62x = 346,379.60 × 159,878.48
  4. Step 4: Simplify right side
    230,846.62x = 55,378,643,951.01
  5. Step 5: Solve for x
    x = 55,378,643,951.01/230,846.62
  6. Step 6: Final answer
    x = 239,893.67

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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.