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Finding the Fourth Proportional to 129,405.69, 177,625.67 and 114,942.33

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Solution

The fourth proportional to 129,405.69, 177,625.67 and 114,942.33 is: 157,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,405.69 : 177,625.67 = 114,942.33 : x
  2. Step 2: Convert to fraction form
    129,405.69/177,625.67 = 114,942.33/x
  3. Step 3: Cross multiply
    129,405.69x = 177,625.67 × 114,942.33
  4. Step 4: Simplify right side
    129,405.69x = 20,416,707,802.90
  5. Step 5: Solve for x
    x = 20,416,707,802.90/129,405.69
  6. Step 6: Final answer
    x = 157,772.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.