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Finding the Fourth Proportional to 214,882.32, 322,212.75 and 96,452.16

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Solution

The fourth proportional to 214,882.32, 322,212.75 and 96,452.16 is: 144,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,882.32 : 322,212.75 = 96,452.16 : x
  2. Step 2: Convert to fraction form
    214,882.32/322,212.75 = 96,452.16/x
  3. Step 3: Cross multiply
    214,882.32x = 322,212.75 × 96,452.16
  4. Step 4: Simplify right side
    214,882.32x = 31,078,115,717.04
  5. Step 5: Solve for x
    x = 31,078,115,717.04/214,882.32
  6. Step 6: Final answer
    x = 144,628.54

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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.