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Finding the Fourth Proportional to 214,257.90, 321,427.46 and 86,183.98

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Solution

The fourth proportional to 214,257.90, 321,427.46 and 86,183.98 is: 129,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,257.90 : 321,427.46 = 86,183.98 : x
  2. Step 2: Convert to fraction form
    214,257.90/321,427.46 = 86,183.98/x
  3. Step 3: Cross multiply
    214,257.90x = 321,427.46 × 86,183.98
  4. Step 4: Simplify right side
    214,257.90x = 27,701,897,784.09
  5. Step 5: Solve for x
    x = 27,701,897,784.09/214,257.90
  6. Step 6: Final answer
    x = 129,292.31

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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.