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Finding the Fourth Proportional to 312,180.32, 430,809.90 and 168,940.32

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Solution

The fourth proportional to 312,180.32, 430,809.90 and 168,940.32 is: 233,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,180.32 : 430,809.90 = 168,940.32 : x
  2. Step 2: Convert to fraction form
    312,180.32/430,809.90 = 168,940.32/x
  3. Step 3: Cross multiply
    312,180.32x = 430,809.90 × 168,940.32
  4. Step 4: Simplify right side
    312,180.32x = 72,781,162,365.17
  5. Step 5: Solve for x
    x = 72,781,162,365.17/312,180.32
  6. Step 6: Final answer
    x = 233,138.22

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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.