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Finding the Fourth Proportional to 219,876.40, 329,814.60 and 164,107.90

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Solution

The fourth proportional to 219,876.40, 329,814.60 and 164,107.90 is: 246,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,876.40 : 329,814.60 = 164,107.90 : x
  2. Step 2: Convert to fraction form
    219,876.40/329,814.60 = 164,107.90/x
  3. Step 3: Cross multiply
    219,876.40x = 329,814.60 × 164,107.90
  4. Step 4: Simplify right side
    219,876.40x = 54,125,181,395.34
  5. Step 5: Solve for x
    x = 54,125,181,395.34/219,876.40
  6. Step 6: Final answer
    x = 246,161.85

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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.