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Finding the Fourth Proportional to 219,742.84, 329,611.80 and 166,760.32

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Solution

The fourth proportional to 219,742.84, 329,611.80 and 166,760.32 is: 250,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,742.84 : 329,611.80 = 166,760.32 : x
  2. Step 2: Convert to fraction form
    219,742.84/329,611.80 = 166,760.32/x
  3. Step 3: Cross multiply
    219,742.84x = 329,611.80 × 166,760.32
  4. Step 4: Simplify right side
    219,742.84x = 54,966,169,243.78
  5. Step 5: Solve for x
    x = 54,966,169,243.78/219,742.84
  6. Step 6: Final answer
    x = 250,138.61

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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.