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Finding the Fourth Proportional to 165,216.92, 228,005.69 and 89,765.42

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Solution

The fourth proportional to 165,216.92, 228,005.69 and 89,765.42 is: 123,879.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,216.92 : 228,005.69 = 89,765.42 : x
  2. Step 2: Convert to fraction form
    165,216.92/228,005.69 = 89,765.42/x
  3. Step 3: Cross multiply
    165,216.92x = 228,005.69 × 89,765.42
  4. Step 4: Simplify right side
    165,216.92x = 20,467,024,936.38
  5. Step 5: Solve for x
    x = 20,467,024,936.38/165,216.92
  6. Step 6: Final answer
    x = 123,879.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.