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Finding the Fourth Proportional to 216,447.75, 324,677.31 and 102,568.86

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Solution

The fourth proportional to 216,447.75, 324,677.31 and 102,568.86 is: 153,855.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,447.75 : 324,677.31 = 102,568.86 : x
  2. Step 2: Convert to fraction form
    216,447.75/324,677.31 = 102,568.86/x
  3. Step 3: Cross multiply
    216,447.75x = 324,677.31 × 102,568.86
  4. Step 4: Simplify right side
    216,447.75x = 33,301,781,554.57
  5. Step 5: Solve for x
    x = 33,301,781,554.57/216,447.75
  6. Step 6: Final answer
    x = 153,855.98

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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.