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Finding the Fourth Proportional to 221,714.70, 332,572.05 and 81,455.10

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Solution

The fourth proportional to 221,714.70, 332,572.05 and 81,455.10 is: 122,182.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,714.70 : 332,572.05 = 81,455.10 : x
  2. Step 2: Convert to fraction form
    221,714.70/332,572.05 = 81,455.10/x
  3. Step 3: Cross multiply
    221,714.70x = 332,572.05 × 81,455.10
  4. Step 4: Simplify right side
    221,714.70x = 27,089,689,589.96
  5. Step 5: Solve for x
    x = 27,089,689,589.96/221,714.70
  6. Step 6: Final answer
    x = 122,182.65

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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.