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Finding the Fourth Proportional to 221,469.61, 332,257.34 and 71,710.08

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Solution

The fourth proportional to 221,469.61, 332,257.34 and 71,710.08 is: 107,582.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,469.61 : 332,257.34 = 71,710.08 : x
  2. Step 2: Convert to fraction form
    221,469.61/332,257.34 = 71,710.08/x
  3. Step 3: Cross multiply
    221,469.61x = 332,257.34 × 71,710.08
  4. Step 4: Simplify right side
    221,469.61x = 23,826,200,431.99
  5. Step 5: Solve for x
    x = 23,826,200,431.99/221,469.61
  6. Step 6: Final answer
    x = 107,582.26

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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.