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Finding the Fourth Proportional to 214,633.40, 321,950.10 and 74,406.20

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Solution

The fourth proportional to 214,633.40, 321,950.10 and 74,406.20 is: 111,609.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,633.40 : 321,950.10 = 74,406.20 : x
  2. Step 2: Convert to fraction form
    214,633.40/321,950.10 = 74,406.20/x
  3. Step 3: Cross multiply
    214,633.40x = 321,950.10 × 74,406.20
  4. Step 4: Simplify right side
    214,633.40x = 23,955,083,530.62
  5. Step 5: Solve for x
    x = 23,955,083,530.62/214,633.40
  6. Step 6: Final answer
    x = 111,609.30

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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.