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Finding the Fourth Proportional to 214,796.53, 322,205.55 and 54,873.69

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Solution

The fourth proportional to 214,796.53, 322,205.55 and 54,873.69 is: 82,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,796.53 : 322,205.55 = 54,873.69 : x
  2. Step 2: Convert to fraction form
    214,796.53/322,205.55 = 54,873.69/x
  3. Step 3: Cross multiply
    214,796.53x = 322,205.55 × 54,873.69
  4. Step 4: Simplify right side
    214,796.53x = 17,680,606,052.93
  5. Step 5: Solve for x
    x = 17,680,606,052.93/214,796.53
  6. Step 6: Final answer
    x = 82,313.28

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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.