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Finding the Fourth Proportional to 275,563.10, 412,951.05 and 156,983.90

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Solution

The fourth proportional to 275,563.10, 412,951.05 and 156,983.90 is: 235,251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,563.10 : 412,951.05 = 156,983.90 : x
  2. Step 2: Convert to fraction form
    275,563.10/412,951.05 = 156,983.90/x
  3. Step 3: Cross multiply
    275,563.10x = 412,951.05 × 156,983.90
  4. Step 4: Simplify right side
    275,563.10x = 64,826,666,338.10
  5. Step 5: Solve for x
    x = 64,826,666,338.10/275,563.10
  6. Step 6: Final answer
    x = 235,251.62

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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.