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Finding the Fourth Proportional to 214,081.08, 321,028.56 and 114,219

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Solution

The fourth proportional to 214,081.08, 321,028.56 and 114,219 is: 171,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,081.08 : 321,028.56 = 114,219 : x
  2. Step 2: Convert to fraction form
    214,081.08/321,028.56 = 114,219/x
  3. Step 3: Cross multiply
    214,081.08x = 321,028.56 × 114,219
  4. Step 4: Simplify right side
    214,081.08x = 36,667,561,094.64
  5. Step 5: Solve for x
    x = 36,667,561,094.64/214,081.08
  6. Step 6: Final answer
    x = 171,278.85

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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.