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Finding the Fourth Proportional to 214,494.67, 321,744.30 and 64,736.30

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Solution

The fourth proportional to 214,494.67, 321,744.30 and 64,736.30 is: 97,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,494.67 : 321,744.30 = 64,736.30 : x
  2. Step 2: Convert to fraction form
    214,494.67/321,744.30 = 64,736.30/x
  3. Step 3: Cross multiply
    214,494.67x = 321,744.30 × 64,736.30
  4. Step 4: Simplify right side
    214,494.67x = 20,828,535,528.09
  5. Step 5: Solve for x
    x = 20,828,535,528.09/214,494.67
  6. Step 6: Final answer
    x = 97,105.14

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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.