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Finding the Fourth Proportional to 219,740.84, 329,608.82 and 166,758.28

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Solution

The fourth proportional to 219,740.84, 329,608.82 and 166,758.28 is: 250,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,740.84 : 329,608.82 = 166,758.28 : x
  2. Step 2: Convert to fraction form
    219,740.84/329,608.82 = 166,758.28/x
  3. Step 3: Cross multiply
    219,740.84x = 329,608.82 × 166,758.28
  4. Step 4: Simplify right side
    219,740.84x = 54,964,999,896.03
  5. Step 5: Solve for x
    x = 54,964,999,896.03/219,740.84
  6. Step 6: Final answer
    x = 250,135.57

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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.