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Finding the Fourth Proportional to 312,141.90, 430,757.34 and 176,181.60

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Solution

The fourth proportional to 312,141.90, 430,757.34 and 176,181.60 is: 243,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,141.90 : 430,757.34 = 176,181.60 : x
  2. Step 2: Convert to fraction form
    312,141.90/430,757.34 = 176,181.60/x
  3. Step 3: Cross multiply
    312,141.90x = 430,757.34 × 176,181.60
  4. Step 4: Simplify right side
    312,141.90x = 75,891,517,372.94
  5. Step 5: Solve for x
    x = 75,891,517,372.94/312,141.90
  6. Step 6: Final answer
    x = 243,131.46

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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.