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Finding the Fourth Proportional to 214,575.90, 321,893.92 and 64,799.20

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Solution

The fourth proportional to 214,575.90, 321,893.92 and 64,799.20 is: 97,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,575.90 : 321,893.92 = 64,799.20 : x
  2. Step 2: Convert to fraction form
    214,575.90/321,893.92 = 64,799.20/x
  3. Step 3: Cross multiply
    214,575.90x = 321,893.92 × 64,799.20
  4. Step 4: Simplify right side
    214,575.90x = 20,858,468,500.86
  5. Step 5: Solve for x
    x = 20,858,468,500.86/214,575.90
  6. Step 6: Final answer
    x = 97,207.88

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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.