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Finding the Fourth Proportional to 219,819.40, 329,729.10 and 164,050.90

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Solution

The fourth proportional to 219,819.40, 329,729.10 and 164,050.90 is: 246,076.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,819.40 : 329,729.10 = 164,050.90 : x
  2. Step 2: Convert to fraction form
    219,819.40/329,729.10 = 164,050.90/x
  3. Step 3: Cross multiply
    219,819.40x = 329,729.10 × 164,050.90
  4. Step 4: Simplify right side
    219,819.40x = 54,092,355,611.19
  5. Step 5: Solve for x
    x = 54,092,355,611.19/219,819.40
  6. Step 6: Final answer
    x = 246,076.35

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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.