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Finding the Fourth Proportional to 275,170.67, 412,797.02 and 97,662.81

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Solution

The fourth proportional to 275,170.67, 412,797.02 and 97,662.81 is: 146,508.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,170.67 : 412,797.02 = 97,662.81 : x
  2. Step 2: Convert to fraction form
    275,170.67/412,797.02 = 97,662.81/x
  3. Step 3: Cross multiply
    275,170.67x = 412,797.02 × 97,662.81
  4. Step 4: Simplify right side
    275,170.67x = 40,314,916,444.51
  5. Step 5: Solve for x
    x = 40,314,916,444.51/275,170.67
  6. Step 6: Final answer
    x = 146,508.77

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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.