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Finding the Fourth Proportional to 219,288.78, 328,668.26 and 106,800.44

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Solution

The fourth proportional to 219,288.78, 328,668.26 and 106,800.44 is: 160,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,288.78 : 328,668.26 = 106,800.44 : x
  2. Step 2: Convert to fraction form
    219,288.78/328,668.26 = 106,800.44/x
  3. Step 3: Cross multiply
    219,288.78x = 328,668.26 × 106,800.44
  4. Step 4: Simplify right side
    219,288.78x = 35,101,914,782.03
  5. Step 5: Solve for x
    x = 35,101,914,782.03/219,288.78
  6. Step 6: Final answer
    x = 160,071.64

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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.