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Finding the Fourth Proportional to 84,165, 116,150.13 and 46,441.68

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Solution

The fourth proportional to 84,165, 116,150.13 and 46,441.68 is: 64,090.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,165 : 116,150.13 = 46,441.68 : x
  2. Step 2: Convert to fraction form
    84,165/116,150.13 = 46,441.68/x
  3. Step 3: Cross multiply
    84,165x = 116,150.13 × 46,441.68
  4. Step 4: Simplify right side
    84,165x = 5,394,207,169.42
  5. Step 5: Solve for x
    x = 5,394,207,169.42/84,165
  6. Step 6: Final answer
    x = 64,090.86

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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.