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Finding the Fourth Proportional to 275,197.89, 412,835.09 and 97,662.72

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Solution

The fourth proportional to 275,197.89, 412,835.09 and 97,662.72 is: 146,507.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,197.89 : 412,835.09 = 97,662.72 : x
  2. Step 2: Convert to fraction form
    275,197.89/412,835.09 = 97,662.72/x
  3. Step 3: Cross multiply
    275,197.89x = 412,835.09 × 97,662.72
  4. Step 4: Simplify right side
    275,197.89x = 40,318,597,312.53
  5. Step 5: Solve for x
    x = 40,318,597,312.53/275,197.89
  6. Step 6: Final answer
    x = 146,507.65

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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.