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Finding the Fourth Proportional to 312,180.74, 430,809.38 and 168,940.76

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Solution

The fourth proportional to 312,180.74, 430,809.38 and 168,940.76 is: 233,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,180.74 : 430,809.38 = 168,940.76 : x
  2. Step 2: Convert to fraction form
    312,180.74/430,809.38 = 168,940.76/x
  3. Step 3: Cross multiply
    312,180.74x = 430,809.38 × 168,940.76
  4. Step 4: Simplify right side
    312,180.74x = 72,781,264,072.33
  5. Step 5: Solve for x
    x = 72,781,264,072.33/312,180.74
  6. Step 6: Final answer
    x = 233,138.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.