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Finding the Fourth Proportional to 219,185.91, 328,514.49 and 106,697.52

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Solution

The fourth proportional to 219,185.91, 328,514.49 and 106,697.52 is: 159,917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,185.91 : 328,514.49 = 106,697.52 : x
  2. Step 2: Convert to fraction form
    219,185.91/328,514.49 = 106,697.52/x
  3. Step 3: Cross multiply
    219,185.91x = 328,514.49 × 106,697.52
  4. Step 4: Simplify right side
    219,185.91x = 35,051,681,367.06
  5. Step 5: Solve for x
    x = 35,051,681,367.06/219,185.91
  6. Step 6: Final answer
    x = 159,917.58

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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.