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Finding the Fourth Proportional to 214,301.67, 321,348.60 and 64,514.04

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Solution

The fourth proportional to 214,301.67, 321,348.60 and 64,514.04 is: 96,739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,301.67 : 321,348.60 = 64,514.04 : x
  2. Step 2: Convert to fraction form
    214,301.67/321,348.60 = 64,514.04/x
  3. Step 3: Cross multiply
    214,301.67x = 321,348.60 × 64,514.04
  4. Step 4: Simplify right side
    214,301.67x = 20,731,496,434.34
  5. Step 5: Solve for x
    x = 20,731,496,434.34/214,301.67
  6. Step 6: Final answer
    x = 96,739.78

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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.