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Finding the Fourth Proportional to 275,424.20, 413,209.20 and 97,912.70

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Solution

The fourth proportional to 275,424.20, 413,209.20 and 97,912.70 is: 146,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,424.20 : 413,209.20 = 97,912.70 : x
  2. Step 2: Convert to fraction form
    275,424.20/413,209.20 = 97,912.70/x
  3. Step 3: Cross multiply
    275,424.20x = 413,209.20 × 97,912.70
  4. Step 4: Simplify right side
    275,424.20x = 40,458,428,436.84
  5. Step 5: Solve for x
    x = 40,458,428,436.84/275,424.20
  6. Step 6: Final answer
    x = 146,894.97

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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.