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Finding the Fourth Proportional to 272,769.76, 409,085.52 and 114,996.96

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Solution

The fourth proportional to 272,769.76, 409,085.52 and 114,996.96 is: 172,466.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,769.76 : 409,085.52 = 114,996.96 : x
  2. Step 2: Convert to fraction form
    272,769.76/409,085.52 = 114,996.96/x
  3. Step 3: Cross multiply
    272,769.76x = 409,085.52 × 114,996.96
  4. Step 4: Simplify right side
    272,769.76x = 47,043,591,180.02
  5. Step 5: Solve for x
    x = 47,043,591,180.02/272,769.76
  6. Step 6: Final answer
    x = 172,466.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.