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Finding the Fourth Proportional to 275,342.92, 412,769.70 and 97,826.52

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Solution

The fourth proportional to 275,342.92, 412,769.70 and 97,826.52 is: 146,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,342.92 : 412,769.70 = 97,826.52 : x
  2. Step 2: Convert to fraction form
    275,342.92/412,769.70 = 97,826.52/x
  3. Step 3: Cross multiply
    275,342.92x = 412,769.70 × 97,826.52
  4. Step 4: Simplify right side
    275,342.92x = 40,379,823,312.44
  5. Step 5: Solve for x
    x = 40,379,823,312.44/275,342.92
  6. Step 6: Final answer
    x = 146,652.85

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