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Finding the Fourth Proportional to 214,481.64, 321,714.36 and 64,717.94

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Solution

The fourth proportional to 214,481.64, 321,714.36 and 64,717.94 is: 97,074.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,481.64 : 321,714.36 = 64,717.94 : x
  2. Step 2: Convert to fraction form
    214,481.64/321,714.36 = 64,717.94/x
  3. Step 3: Cross multiply
    214,481.64x = 321,714.36 × 64,717.94
  4. Step 4: Simplify right side
    214,481.64x = 20,820,689,039.05
  5. Step 5: Solve for x
    x = 20,820,689,039.05/214,481.64
  6. Step 6: Final answer
    x = 97,074.46

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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.