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Finding the Fourth Proportional to 214,242.32, 321,317.40 and 135,251.12

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Solution

The fourth proportional to 214,242.32, 321,317.40 and 135,251.12 is: 202,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,242.32 : 321,317.40 = 135,251.12 : x
  2. Step 2: Convert to fraction form
    214,242.32/321,317.40 = 135,251.12/x
  3. Step 3: Cross multiply
    214,242.32x = 321,317.40 × 135,251.12
  4. Step 4: Simplify right side
    214,242.32x = 43,458,538,225.49
  5. Step 5: Solve for x
    x = 43,458,538,225.49/214,242.32
  6. Step 6: Final answer
    x = 202,847.59

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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.