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Finding the Fourth Proportional to 165,860.92, 228,879.43 and 94,231

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Solution

The fourth proportional to 165,860.92, 228,879.43 and 94,231 is: 130,033.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,860.92 : 228,879.43 = 94,231 : x
  2. Step 2: Convert to fraction form
    165,860.92/228,879.43 = 94,231/x
  3. Step 3: Cross multiply
    165,860.92x = 228,879.43 × 94,231
  4. Step 4: Simplify right side
    165,860.92x = 21,567,537,568.33
  5. Step 5: Solve for x
    x = 21,567,537,568.33/165,860.92
  6. Step 6: Final answer
    x = 130,033.87

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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.