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Finding the Fourth Proportional to 221,684.22, 332,658.81 and 81,457.02

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Solution

The fourth proportional to 221,684.22, 332,658.81 and 81,457.02 is: 122,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,684.22 : 332,658.81 = 81,457.02 : x
  2. Step 2: Convert to fraction form
    221,684.22/332,658.81 = 81,457.02/x
  3. Step 3: Cross multiply
    221,684.22x = 332,658.81 × 81,457.02
  4. Step 4: Simplify right side
    221,684.22x = 27,097,395,339.35
  5. Step 5: Solve for x
    x = 27,097,395,339.35/221,684.22
  6. Step 6: Final answer
    x = 122,234.21

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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.