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Finding the Fourth Proportional to 275,224.35, 412,898.69 and 97,731.48

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Solution

The fourth proportional to 275,224.35, 412,898.69 and 97,731.48 is: 146,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,224.35 : 412,898.69 = 97,731.48 : x
  2. Step 2: Convert to fraction form
    275,224.35/412,898.69 = 97,731.48/x
  3. Step 3: Cross multiply
    275,224.35x = 412,898.69 × 97,731.48
  4. Step 4: Simplify right side
    275,224.35x = 40,353,200,063.76
  5. Step 5: Solve for x
    x = 40,353,200,063.76/275,224.35
  6. Step 6: Final answer
    x = 146,619.29

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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.