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Finding the Fourth Proportional to 95,208, 131,205.84 and 69,722.16

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Solution

The fourth proportional to 95,208, 131,205.84 and 69,722.16 is: 96,083.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,208 : 131,205.84 = 69,722.16 : x
  2. Step 2: Convert to fraction form
    95,208/131,205.84 = 69,722.16/x
  3. Step 3: Cross multiply
    95,208x = 131,205.84 × 69,722.16
  4. Step 4: Simplify right side
    95,208x = 9,147,954,569.41
  5. Step 5: Solve for x
    x = 9,147,954,569.41/95,208
  6. Step 6: Final answer
    x = 96,083.89

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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.