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Finding the Fourth Proportional to 219,741.84, 329,610.30 and 166,759.32

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Solution

The fourth proportional to 219,741.84, 329,610.30 and 166,759.32 is: 250,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,741.84 : 329,610.30 = 166,759.32 : x
  2. Step 2: Convert to fraction form
    219,741.84/329,610.30 = 166,759.32/x
  3. Step 3: Cross multiply
    219,741.84x = 329,610.30 × 166,759.32
  4. Step 4: Simplify right side
    219,741.84x = 54,965,589,493.00
  5. Step 5: Solve for x
    x = 54,965,589,493.00/219,741.84
  6. Step 6: Final answer
    x = 250,137.11

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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.