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Finding the Fourth Proportional to 214,209.96, 320,964.36 and 129,714.12

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Solution

The fourth proportional to 214,209.96, 320,964.36 and 129,714.12 is: 194,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,209.96 : 320,964.36 = 129,714.12 : x
  2. Step 2: Convert to fraction form
    214,209.96/320,964.36 = 129,714.12/x
  3. Step 3: Cross multiply
    214,209.96x = 320,964.36 × 129,714.12
  4. Step 4: Simplify right side
    214,209.96x = 41,633,609,508.76
  5. Step 5: Solve for x
    x = 41,633,609,508.76/214,209.96
  6. Step 6: Final answer
    x = 194,358.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.