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Finding the Fourth Proportional to 214,992.58, 322,629.32 and 81,874.12

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Solution

The fourth proportional to 214,992.58, 322,629.32 and 81,874.12 is: 122,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,992.58 : 322,629.32 = 81,874.12 : x
  2. Step 2: Convert to fraction form
    214,992.58/322,629.32 = 81,874.12/x
  3. Step 3: Cross multiply
    214,992.58x = 322,629.32 × 81,874.12
  4. Step 4: Simplify right side
    214,992.58x = 26,414,991,661.20
  5. Step 5: Solve for x
    x = 26,414,991,661.20/214,992.58
  6. Step 6: Final answer
    x = 122,864.67

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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.