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Finding the Fourth Proportional to 214,036.89, 321,211.01 and 172,419.39

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Solution

The fourth proportional to 214,036.89, 321,211.01 and 172,419.39 is: 258,754.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,036.89 : 321,211.01 = 172,419.39 : x
  2. Step 2: Convert to fraction form
    214,036.89/321,211.01 = 172,419.39/x
  3. Step 3: Cross multiply
    214,036.89x = 321,211.01 × 172,419.39
  4. Step 4: Simplify right side
    214,036.89x = 55,383,006,405.48
  5. Step 5: Solve for x
    x = 55,383,006,405.48/214,036.89
  6. Step 6: Final answer
    x = 258,754.49

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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.