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Finding the Fourth Proportional to 221,709.88, 332,597.63 and 81,457.57

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Solution

The fourth proportional to 221,709.88, 332,597.63 and 81,457.57 is: 122,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,709.88 : 332,597.63 = 81,457.57 : x
  2. Step 2: Convert to fraction form
    221,709.88/332,597.63 = 81,457.57/x
  3. Step 3: Cross multiply
    221,709.88x = 332,597.63 × 81,457.57
  4. Step 4: Simplify right side
    221,709.88x = 27,092,594,727.56
  5. Step 5: Solve for x
    x = 27,092,594,727.56/221,709.88
  6. Step 6: Final answer
    x = 122,198.41

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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.