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Finding the Fourth Proportional to 275,171.89, 412,798.85 and 97,664.04

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Solution

The fourth proportional to 275,171.89, 412,798.85 and 97,664.04 is: 146,510.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,171.89 : 412,798.85 = 97,664.04 : x
  2. Step 2: Convert to fraction form
    275,171.89/412,798.85 = 97,664.04/x
  3. Step 3: Cross multiply
    275,171.89x = 412,798.85 × 97,664.04
  4. Step 4: Simplify right side
    275,171.89x = 40,315,603,398.35
  5. Step 5: Solve for x
    x = 40,315,603,398.35/275,171.89
  6. Step 6: Final answer
    x = 146,510.62

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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.