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Finding the Fourth Proportional to 275,104.92, 412,719.34 and 97,611.64

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Solution

The fourth proportional to 275,104.92, 412,719.34 and 97,611.64 is: 146,439.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,104.92 : 412,719.34 = 97,611.64 : x
  2. Step 2: Convert to fraction form
    275,104.92/412,719.34 = 97,611.64/x
  3. Step 3: Cross multiply
    275,104.92x = 412,719.34 × 97,611.64
  4. Step 4: Simplify right side
    275,104.92x = 40,286,211,637.12
  5. Step 5: Solve for x
    x = 40,286,211,637.12/275,104.92
  6. Step 6: Final answer
    x = 146,439.44

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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.